Statistics week 11 - 20 OED Source

Statistics and Probability (STAT-112)

Grade 11 Week 11-20

The “p hat” is calculated as

Select one:

a. Number of desired elements over the number of desired outcomes

b. Number of desired outcomes over the number of desired elements Correct

c. 1- (Number of desired elements over the number of desired outcomes)

d. (Number of desired outcomes over the number of desired elements) – 1

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The correct answer is: Number of desired outcomes over the number of desired elements

Sampling distribution of proportions is ______________ distributed

Select one:

a. Normally Correct

b. Randomly

c. Evenly

d. Unevenly

Feedback

The correct answer is: Normally

A survey was conducted to 300 Grade 10 students who have Internet access to determine who access social media websites after attending classes. Based on the survey, 250 students responded Yes. What is the population proportion to students who do not access social media after attending classes?

Select one:

a. 80%

b. 20%

c. 17% Correct

d. 83%

Feedback

The correct answer is: 17%

When the confidence level is 95%, the ____________________ are +- 1.96

Select one:

a. Margin of Errors

b. Confidence coefficients Correct

c. Confidence intervals

d. “p hat” values

Feedback

The correct answer is: Confidence coefficients

Point estimate is

Select one:

a. Always equal to the number or samples

b. A range of possible values for a population parameter.

c. Equal to the population mean

d. A statistical that estimates a population parameter Correct

Feedback

The correct answer is: A statistical that estimates a population parameter

The ̂p is the ____________ estimate of p.

Select one:

a. balanced

b. unbiased Correct

c. biased

d. inverse

Given n=10, x¯ =28, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error.

Select one:

a. 1.24 Correct

b. 26.76

c. 3.16

d. 0.63

Feedback

The correct answer is: 1.24

Given n=10, x¯ =28, s=2.0, 99% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.

Select one:

a. (11.34, 14.89)

b. (1.63, 2.25)

c. (21.36, 24.63)

d. (26.36, 29.63) Correct

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The correct answer is: (26.36, 29.63)

What is in the center of the confidence interval?

Select one:

a. Margin of Error

b. Point Estimate Correct

c. Population Parameter

d. Number of samples

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The correct answer is: Point Estimate

In a survey of 500 individuals, 300 likes to eat dinner in a restaurant. Estimate the sample proportion ^p of those who like to eat dinner in a restaurant based on the sample.

Select one:

a. 45%

b. 0.40

c. 55%

d. 0.60 Correct

Feedback

The correct answer is: 0.60

As the confidence interval for a given statistics increases in length, the confidence level ___________.

A: Increases - correct

Learning Activity 8 Stats

Margin of error is

Select one:

a. the product of confidence coefficient and standard deviation divided by the square root of the sample size Correct

b. the quotient of confidence coefficient and standard deviation multiplied by the square root of the sample size

c. the product of confidence coefficient and square root of the sample size divided by standard deviation

d. the quotient of confidence coefficient and square root of the sample size divided standard deviation

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The correct answer is: the product of confidence coefficient and standard deviation divided by the square root of the sample size

Given n=100, x¯ =45, s=2.0, 90% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.

Select one:

a. (42.103, 43.970)

b. (43.355, 46.645)

c. (44.461, 45.329) Incorrect

d. (46.921, 47.727)

Feedback

The correct answer is: (43.355, 46.645)

Given n=100, x¯ =80, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error.

Select one:

a. 0.348 Incorrect

b. 0.20

c. 0.392

d. 0.196

Feedback

The correct answer is: 0.392

A survey was conducted from the 250 individuals. Based on the result of the survey, 170 are satisfied with the current Local Government administration. Estimate the sample proportion ^p of those who are not satisfied based on the sample provided.

Select one:

a. 55%

b. 0.32 Correct

c. 0.

d. 0.68

Feedback

The correct answer is: 0.32

A survey was conducted to 110 college students to determine who are using the Library Resource Center of the university. Based on the survey, only 30% responded Yes. Based on the survey, how many students are not using the Library Resource Center?

Select one:

a. 33

b. 30

c. 67 Correct

d. 70

Feedback

The correct answer is: 67

Learning Activity 9 Stats

A survey of 200 people finds that they work on average of 8 hours a day. If the margin of error at 98% confidence level is 1.2 hours. How do you compute for the lower confidence interval?

Select one:

a. 8 hours less 1.2 hours

b. Z score plus less the square root of 8 hours less 1.2 hours Correct

c. None of the choices

d. 8 hours less 1.2 hours multiplied by the z score at 98% confidence level

Feedback

The correct answer is: Z score plus less the square root of 8 hours less 1.2 hours

King Lo Electronics claims that the new brand of computer will last for 25,000 hours. A research company conducted a test on the information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular phone is 20,000 hours, with a standard deviation of 1000 hours. Determine the 95% confidence interval of the mean life of the cellular phone.

Select one:

a. (17,482, 18,649)

b. (19,804, 20,196) Correct

c. (23,467, 24,639)

d. (26,928, 27,375)

Feedback

The correct answer is: (19,804, 20,196)

Given the sample size (n=400) and sample proportion (p=0.56), find the approximate margin of error for the 99% confidence interval:

Select one:

a. 0.043 Incorrect

b. 0.052

c. 0.064

d. 0.074

Feedback

The correct answer is: 0.064

Given the sample size (n=200) and sample proportion (p=0.70), find the approximate margin of error for the 90% confidence interval:

Select one:

a. 0.053

b. 0.085

c. 0.072 Incorrect

d. 0.039

Feedback

The correct answer is: 0.053

A private organization telephone poll of 750 adults, aged 18 and older, living in the country found that 60% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ± 20 percentage points. Find a 95% confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.

Select one:

a. (0.490, 0.601)

b. (0.452, 0.538)

c. (0.565, 0.640) Correct

d. (0.316, 0.483)

Feedback

The correct answer is: (0.565, 0.640)

Short Quiz 9

Given the sample size (n=400) and sample proportion (p=0.70), find the approximate margin of error for the 99% confidence interval:

Select one:

a. 0.086

b. 0.059

c. 0.039 Incorrect

d. 0.330

Feedback

The correct answer is: 0.059

Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for 300 of the patients. Assume that these patients are representative of the population of individuals who have this cancer.

Determine a 90% confidence interval for the proportion successful treated.

Select one:

a. 0.564 < p < 0.640

b. 0.640 < p < 0.742 Incorrect

c. 0.742 < p < 0.834

d. 0.834 < p < 0.927

Feedback

The correct answer is: 0.564 < p < 0.640

A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ±10 percentage points.

Find a 90% upper confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.

Select one:

a. 0.077

b. 0.329 Incorrect

c. 0.834

d. 0.290

Feedback

The correct answer is: 0.077

Lim Electronics claims that the new brand of cellular phone will last for 80,000 hours. A research company conducted a test on the information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular phone is 60,000 hours, with a standard deviation of 1500 hours. Determine the 95% confidence interval of the mean life of the cellular phone.

Select one:

a. (79,301 , 80,890) Incorrect

b. (59,706 , 60,294)

c. (59,301 , 60,890)

d. (79,706 , 80,294)

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The correct answer is: (59,706 , 60,294)

A survey of 900 female finds that they sleep on average of 8 hours a day. If the margin of error at 95% confidence level is 1.3 hours. Find the confidence interval?

Select one:

a. 4.50 hours < p < 5.89 hours

b. 6.70 hours < p < 9.30 hours Correct

c. 8.66 hours < p < 11.26 hours

d. 7.34 hours < p < 8.66 hours

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The correct answer is: 6.70 hours < p < 9.30 hours

Given the sample size (n=300) and sample proportion (p=0.56), find the approximate margin of error for the 90% confidence interval:

Select one:

a. 0.055

b. 0.069

c. 0.047 Correct

d. 0.039

Feedback

The correct answer is: 0.047

Given the problem in item 9, what does the answer tells about?

Select one:

a. Lim Electronics can use the survey conducted for their advertisements.

b. The confidence interval does not support the claim of Lim Electronics.

c. The confidence interval support the claim of Lim Electronics. Incorrect

d. The information is not sufficient to conclude.

Feedback

The correct answer is: The confidence interval does not support the claim of Lim Electronics.

A survey of 900 people finds that they work on average of 9 hours a day. If the margin of error at 98% confidence level is 1.5 hours. What is the solution to find the lower confidence interval?

Select one:

a. Z score plus less the square root of 9 hours less 1.5 hours

b. None of the choices

c. 9 hours less 1.5 hours Correct

d. All of the choices

e. 9 hours less 1.5 hours multiplied by the z score at 98% confidence level

Find a 90% lower confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.

Select one:

a. 0.0726

b. 0.8932

c. 0.4508 Incorrect

d. 0.0934

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The correct answer is: 0.0726

Calculate the sample proportion that was successfully treated.

Select one:

a. 0.85 Incorrect

b. 0.72

c. 0.30

d. 0.60

Feedback

The correct answer is: 0.60

Learning Activity 10 Stats

Find the sample size given 95% confidence, Margin of Error = 0.15 and p ^ =0.25.

Select one:

a. 34 Incorrect

b. 33

c. 31

d. 32

Feedback

The correct answer is: 33

Find the sample size given 90% confidence, Margin of Error = 0.15 and ^p =0.25.

Select one:

a. 20 Incorrect

b. 22

c. 23

d. 21

Feedback

The correct answer is: 23

Find the sample size given 99% confidence, Margin of Error = 0.10 and ^p =0.35.

Select one:

a. 389

b. 215 Incorrect

c. 139

d. 152

Feedback

The correct answer is: 152

Find the sample size given 99% confidence, Margin of Error = 0.18 and ^p =0.30.

Select one:

a. 41

b. 42

c. 44 Incorrect

d. 43

Feedback

The correct answer is: 43

The Engineer of the building wants to use the proportion of the population to determine the sample size needed to interview regarding their idea about the new color design of the building. He wants to be able to assure with probability 0.90 that his error will be most 0.10. Similar surveys during past year that 85% approved the new color design. How large a sample does the Engineer need?

Select one:

a. 278 Incorrect

b. 2,145

c. 1,372

d. 196

Feedback

The correct answer is: 196

Short Quiz 11 Stats

Determine whether each of the following is a null of an alternative hypothesis:

The proportion of computer in the software laboratory is lower than the total number of BS IT students in the university.

Answer:

alternative hypothesis

Correct

Feedback

The correct answer is: Alternative hypothesis

The alternative hypothesis and null hypothesis should be ________________.

Select one:

a. Mutually exclusive

b. All of the choices

c. None of the choices

d. Mutually inclusive Correct

Feedback

The correct answer is: Mutually inclusive

Determine whether each of the following is a null of an alternative hypothesis:

The proportion of an employee income is greater than the monthly expenses of the employee.

Answer:

null hypothesis

Incorrect

Feedback

The correct answer is: Alternative hypothesis

William collected a random sample of 88 people, asking how many times they open ABC web site per day on average, and calculated x¯ = 50.30. ABC suggests that µ = 55, and s = 10. William thinks the actual mean is less than the website owner claims. What is the null and alternative hypothesis?

Select one:

a. 55

b. Null hypothesis µ = 55, Alternative hypothesis µ < 55

c. Null hypothesis µ ? 55, Alternative hypothesis µ

d. Null hypothesis µ > 55, Alternative hypothesis µ = 55

e. 55, Alternative hypothesis µ ? 55 Correct

f. Null hypothesis µ

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The correct answer is: Null hypothesis µ ≥ 55, Alternative hypothesis µ < 55

A type of test that is denoted by the symbol Ho.

Select one:

a. Rejection hypothesis Incorrect

b. Statistical hypothesis

c. Alternative hypothesis

d. Null hypothesis

Feedback

The correct answer is: Null hypothesis

The probability of making type I error is

Select one:

a. ß

b. 1- a

c. 1- ß

d. a Correct

e. µ - a

Feedback

The correct answer is: a

For the 99% confidence level,

Select one:

a. a

b. a

c. a

d. 0.001

e. a

f. 0.010

g. 0.005

h. 0.025 Correct

Feedback

The correct answer is: 0.010

Determine whether each of the following is a null of an alternative hypothesis:

A police precinct claims that there is ten crimes on the average are reported.

Answer:

alternative hypothesis

Incorrect

Feedback

The correct answer is: Null hypothesis

This refers to the area where the value of the test statistic lies for which we will reject the null hypothesis.

Select one:

a. Rejection region and Null region

b. Rejection region and Critical region Correct

c. Null region and Critical region

d. Null region

e. Critical region

f. None of the choices

g. Rejection region

h. All of the choices

Feedback

The correct answer is: Rejection region and Critical region

Learning Activity 11 Stats

Determine whether each of the following is a null of an alternative hypothesis:

The average income of an employee is 12,000 pesos.

Answer:

null hypothesis

Correct

Feedback

The correct answer is: Null hypothesis

The level of significance is the

Select one:

a. 1 - p value

b. Same as confidence interval

c. Maximum allowable probability of Type II error

d. Minimum allowable probability of Type II error

e. Probability of committing a Type I error Correct

Feedback

The correct answer is: Probability of committing a Type I error

What is the null hypothesis to the claim that people like android phone than IOS? State the null hypothesis.

Select one:

a. Less people like IOS than android

b. More people like android than IOS phone Correct

c. Less people like android and IOS phone

d. More people like IOS phone than android phone

Feedback

The correct answer is: More people like android than IOS phone

If the null hypothesis is true and rejected, the decision is incorrect – Type I Error

Select one:

a. Rejection Error

b. Type I Error Correct

c. Correction Error

d. Type II Error

Feedback

The correct answer is: Type I Error

Determine whether each of the following is a null of an alternative hypothesis:

The average internet usage of a College student is 6 hours.

Answer:

null hypothesis

Correct

Feedback

The correct answer is: Null hypothesis

Learning Activity 12 Stats

In hypothesis testing, the computed statistics is compared to the critical value for decision making.

Select one:

a. The statement is TRUE. Correct

b. The statement is FALSE.

Feedback

The correct answer is: The statement is TRUE.

This separates the rejection region to the region where we do not reject the null hypothesis.

Select one:

a. Z score

b. Null value Incorrect

c. Critical value

d. chi value

The correct answer is: Critical value

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

– 4

Select one:

a. Do not Reject

b. Reject Correct

c. Cannot be determined

Feedback

The correct answer is: Reject

St. Therese senior high school have an average achievement test score of 96. From a random sample of 49 students St. Therese students we find the average achievement test score to be 98 with a standard deviation of 88. We want to know if these high school students are representative of the overall population. What can we conclude based?

Select one:

a. Accept null hypothesis

b. Reject null hypothesis

c. Accept alternative hypothesis Incorrect

d. Reject alternative hypothesis

Feedback

The correct answer is: Accept null hypothesis

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

2.35

Select one:

a. Cannot be determined

b. Reject

c. Do not Reject Incorrect

Feedback

The correct answer is: Reject

Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 25, s = 5, n = 80, x¯ = 23.4

Answer:

-5 - wrong

Incorrect

Feedback

The correct answer is: -2.86

Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 77, s = 6, n = 109, x¯ = 78.2

Answer:

-12.83

Incorrect

Feedback

The correct answer is: 2.09

Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 8, σ = 4, n = 99, x̄ = 7.2
A: -1.99 - correct

Short Quiz 12

Consider the scenario: In a recent survey, 320 persons out of 35 reported that they prefer to ride in a public utility air-conditioned vehicle rather than a jeepney. What is the value of the test statistics?

Select one:

a. 3.49 Incorrect

b. – 1.85

c. – 1.85

d. – 1.33

Feedback

The correct answer is: – 1.85

Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.

µ = 8.5, s = 4, n = 99, x¯ = 7.2

Answer:

34.32 - wrong

Incorrect

Feedback

The correct answer is: -3.23

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

3.31

Select one:

a. Cannot be determined

b. Reject Correct

c. Do not Reject

Consider the scenario: In a recent survey, 320 persons out of 35 reported that they prefer to ride in a public utility air-conditioned vehicle rather than a jeepney.

What can we conclude based the value of the test statistics?

Select one:

a. Reject null hypothesis

b. Accept alternative hypothesis Incorrect

c. Reject alternative hypothesis

d. Accept null hypothesis

Feedback

The correct answer is: Accept null hypothesis

Values supporting the ___________________ occurs in the rejection region.

Select one:

a. Critical values

b. Alternative hypothesis and critical values Incorrect

c. Null hypothesis

d. Null hypothesis and critical values

e. Alternative hypothesis

Feedback

The correct answer is: Null hypothesis and critical values

A sample is small when n=30.

Select one:

a. The statement is TRUE. Incorrect

b. The statement is FALSE. Replace the letter n with letter x.

c. The statement is FALSE. Replace the = with =

d. The statement is FALSE. Replace the word small with large.

Feedback

The correct answer is: The statement is FALSE. Replace the word small with large.

In hypothesis testing, the computed statistics is compared to the critical value for decision making.

Select one:

a. The statement is FALSE.

b. The statement is TRUE. Correct

Feedback

The correct answer is: The statement is TRUE.

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

0.131

Select one:

a. Do not Reject

b. Reject Incorrect

c. Cannot be determined

Feedback

The correct answer is: Do not Reject

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

1.11

Select one:

a. Cannot be determined

b. Do not Reject Correct

c. Reject

Feedback

The correct answer is: Do not Reject

Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.

µ = 77, s = 6, n = 109, x¯ = 78.2

Answer:

56.23

Incorrect

Feedback

The correct answer is: 2.09

Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.

µ = 8, s = 4, n = 99, x¯ = 7.2

Answer:

-1.99

Correct

Feedback

The correct answer is: -1.99

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

1.20

Select one:

a. Cannot be determined

b. Reject

c. Do not Reject Correct

Feedback

The correct answer is: Do not Reject

Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:

– 0.6

Select one:

a. Cannot be determined

b. Do not Reject Correct

c. Reject

Feedback

The correct answer is: Do not Reject

Learning Activity 13 Stats

A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.

What is the standard error of the proportion?

Select one:

a. 0.033

b. 0.028

c. 0.066 Incorrect

d. 0.041

Feedback

The correct answer is: 0.041

A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.

What is the observed value of the sample proportion?

Select one:

a. 0.932

b. 0.400

c. 0.783

d. 0.600 Incorrect

Feedback

The correct answer is: 0.400

A businessman is increasing his price for processed food, claiming that the cost of labor and material is going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found out that in 6 of the processed food, the cost of the material is higher.

What is the standard error of the proportion?

Select one:

a. 0.442 Incorrect

b. 0.391

c. 0.137

d. 0.296

Feedback

The correct answer is: 0.137

At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?

Select one:

a. Reject the null hypothesis

b. Accept the null hypothesis Correct

Feedback

The correct answer is: Accept the null hypothesis

A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.

At the 10% level of significance, test the Police Sub Station claims. Based on the test, what can you conclude?

Select one:

a. Accept the null hypothesis Correct

b. Reject the null hypothesis

Feedback

The correct answer is: Accept the null hypothesis

A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.

What is the test statistic for this scenario?

Select one:

a. -0.066

b. 2.112

c. -1.231

d. 1.992 Correct

Feedback

The correct answer is: 1.992

What is the test statistic for this scenario?

Select one:

a. 0.899

b. 1.203

c. 0.996

d. 1.095 Correct

Feedback

The correct answer is: 1.095

A businessman is increasing his price for processed food, claiming that the cost of labor and material is going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found out that in 6 of the processed food, the cost of the material is higher.
What is the observed value of the sample proportion?
A: 0.600

Short Quiz 13 Stats

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

At the 10% level of significance, test the traffic management office’s claim. Based on the test, what can you conclude?

Select one:

a. Accept the null hypothesis Correct

b. Reject the null hypothesis

Feedback

The correct answer is: Accept the null hypothesis

A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.

What is the test statistic for this scenario?

Select one:

a. 0.983

b. 2.181

c. 3.004

d. 1.191 Correct

Feedback

The correct answer is: 1.191

What is the standard error of the proportion?

Select one:

a. 0.087 Correct

b. 0.0632

c. 0.032

d. 0.051

Feedback

The correct answer is: 0.087

About 30% of the male population living in an urban area smokes cigarette. A researcher believes that male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:

What is the standard error of the proportion?

Select one:

a. 0.041

b. 0.089

c. 0.026 Correct

d. 0.011

Feedback

The correct answer is: 0.026

What is the test statistic for this scenario?

Select one:

a. -2.729

b. -0.998

c. -3.661

d. -1.260 Correct

Feedback

The correct answer is: -1.260

What is the observed value of the sample proportion?

Select one:

a. 0.372

b. 0.419

c. 0.267 Correct

d. 0.189

Feedback

The correct answer is: 0.267

fcost of the material is higher.

What is the observed value of the sample proportion?

Select one:

a. 0.667 Correct

b. 0.429

c. 0.739

d. 0.921

Feedback

The correct answer is: 0.667

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

What is the test statistic for this scenario?

Select one:

a. 0.0548

b. 0.0808

c. 0.0993

d. 0.0741 Correct

Feedback

The correct answer is: 0.0741

At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?

Select one:

a. Accept the null hypothesis Correct

b. Reject the null hypothesis

Feedback

The correct answer is: Accept the null hypothesis

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

What is the observed value of the sample proportion?

Select one:

a. 0.963

b. 0.675 Correct

c. 0.367

d. 0.822

Feedback

The correct answer is: 0.675

Short Quiz 13 Stats

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

At the 10% level of significance, test the traffic management office’s claim. Based on the test, what can you conclude?

Select one:

a. Accept the null hypothesis Correct

b. Reject the null hypothesis

Feedback

The correct answer is: Accept the null hypothesis

What is the test statistic for this scenario?

Select one:

a. 0.983

b. 2.181

c. 3.004

d. 1.191 Correct

Feedback

The correct answer is: 1.191

What is the standard error of the proportion?

Select one:

a. 0.087 Correct

b. 0.0632

c. 0.032

d. 0.051

Feedback

The correct answer is: 0.087

What is the standard error of the proportion?

Select one:

a. 0.041

b. 0.089

c. 0.026 Correct

d. 0.011

Feedback

The correct answer is: 0.026

What is the test statistic for this scenario?

Select one:

a. -2.729

b. -0.998

c. -3.661

d. -1.260 Correct

Feedback

The correct answer is: -1.260

What is the observed value of the sample proportion?

Select one:

a. 0.372

b. 0.419

c. 0.267 Correct

d. 0.189

Feedback

The correct answer is: 0.267

What is the observed value of the sample proportion?

Select one:

a. 0.667 Correct

b. 0.429

c. 0.739

d. 0.921

Feedback

The correct answer is: 0.667

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

What is the test statistic for this scenario?

Select one:

a. 0.0548

b. 0.0808

c. 0.0993

d. 0.0741 Correct

Feedback

The correct answer is: 0.0741

At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?

Select one:

a. Accept the null hypothesis Correct

b. Reject the null hypothesis

Feedback

The correct answer is: Accept the null hypothesis

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

What is the observed value of the sample proportion?

Select one:

a. 0.963

b. 0.675 Correct

c. 0.367

d. 0.822

Feedback

The correct answer is: 0.675

The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.

What is the standard error of the proportion?

Select one:

a. 0.062

b. 0.077

c. 0.034 correct

d. 0.045

Short quiz 14

In a ____________, high values in one variable correspond to high values in the other variable.

Select one:

a. Perfect Correlation Incorrect

b. Positive Correlation

c. Scattered Correlation

d. Negative Correlation

Feedback

The correct answer is: Positive Correlation

Graphical representation of the relationship between two variables.

Select one:

a. Line Plots Incorrect

b. XY intersection plot

c. scatter plot

d. Cartesian plane

Feedback

The correct answer is: scatter plot

When examining scatterplot and draw an ellipse around the data, long and narrow ellipses means

Select one:

a. Negative linear association

b. Weak linear association

c. Positive linear association Incorrect

d. Strong linear association

e. Cannot determine with the given information

Feedback

The correct answer is: Strong linear association

This measures relationship between bivariate data.

Select one:

a. None of the choices

b. Correlation Correct

c. All of the choices

d. Linear Regression

e. Scatterplot Analysis

Feedback

The correct answer is: Correlation

A _____________ is simply a scatterplot in which we connect successive chronological observations with a line segment to give more information about how the data values are changing over a period of time.

Select one:

a. XY Plot

b. Scatter Plot

c. Correlation Plot

d. Line plot Correct

Feedback

The correct answer is: Line plot

The data had a _________________ when one variable increases, the other variable also decreases.

Select one:

a. negative linear association Incorrect

b. proportional association

c. elliptical association

d. positive linear association

Feedback

The correct answer is: positive linear association

The goal of examining bivariate data is to show some relativity or association between two or more variables.

Select one:

a. The statement is TRUE. Incorrect

b. The statement is FALSE.

Feedback

The correct answer is: The statement is FALSE.

Learning Actvity 14 Stats

Given the data below, what is the direction of the association between the two variables.

Select one:

a. Positive linear association Incorrect

b. Weak linear association

c. Strong linear association

d. None of the choices

e. Negative linear association

Feedback

The correct answer is: Negative linear association

The data had a _________________ when one variable increases, the other variable also increases.

Select one:

a. positive linear association Correct

b. proportional association

c. elliptical association

d. negative linear association

Feedback

The correct answer is: positive linear association

The line that is closest to the points is called _____________.

Select one:

a. Trend line Correct

b. Correlation line

c. Cross line

d. Scatter line

Feedback

The correct answer is: Trend line

The three important characteristics of a bivariate?

Select one:

a. Elliptical, Rounded, Scattered

b. Proportional, Directional, Elliptical

c. Direction, Shape, Strength

d. Line, Points, Shape Incorrect

Feedback

The correct answer is: Direction, Shape, Strength

The series of disconnected points is referred to as _________________________

Select one:

a. XY Plots

b. Trend line plots

c. Bivariate data

d. scatter plot Correct

Feedback

The correct answer is: scatter plot

Short Quiz 15

Describe the relationship based when r value = 0.01

Select one:

a. No apparent correlation Correct

b. Weak positive correction

c. Strong positive correction

d. Minimal positive correction

Feedback

The correct answer is: No apparent correlation

Linear correlation coefficient is always a value between ____ and ____.

Select one:

a. 0, 100 Incorrect

b. 1, 100

c. +1, -1

d. 0, 1

Feedback

The correct answer is: +1, -1

Year and household monthly water consumption in the Philippines

Select one:

a. Water consumption is the explanatory variable and year is the response variable Incorrect

b. Year is the explanatory variable and water consumption is the response variable

c. Cannot be determined

Feedback

The correct answer is: Year is the explanatory variable and water consumption is the response variable

Describe the relationship based on the r-value r=0,

Select one:

a. No relationship

b. Deterministic relationship Incorrect

c. Weak relationship

d. Strong relationship

Feedback

The correct answer is: No relationship

The value of a perfect positive coefficient is ________.

Select one:

a. A positive number greater than 1

b. Equal to zero.

c. None of the choices

d. Equal to 1.

e. A positive number greater than 0. Incorrect

Feedback

The correct answer is: Equal to 1.

Describe the relationship based when r value = 0.75

Select one:

a. Minimal positive correction Incorrect

b. Weak positive correction

c. No apparent correlation

d. Strong positive correction

Feedback

The correct answer is: Strong positive correction

The variable that causes an effect

Select one:

a. Response variable

b. Explanatory variable Correct

c. Trend variable

d. Correlation variable

Feedback

The correct answer is: Explanatory variable

This pattern is produced when the score of one observation is high, the score of the other observation to be high.

Select one:

a. XY Plot

b. Positive Correlation

c. Direct Correlation Incorrect

d. Negative Correlation

Feedback

The correct answer is: Positive Correlation

Year and household monthly water consumption in the Philippines

Select one:

a. Water consumption is the explanatory variable and year is the response variable Incorrect

b. Cannot be determined

c. Year is the explanatory variable and water consumption is the response variable

Feedback

The correct answer is: Year is the explanatory variable and water consumption is the response variable

The variable that reflects the effect

Select one:

a. Explanatory variable

b. Response variable Correct

c. Correlation variable

d. Trend variable

Feedback

The correct answer is: Response variable

Learning Activity 15 Stats

Describe the relationship based when r value = 0.63

Select one:

a. Minimal positive correction

b. Strong positive correction Correct

c. No apparent correlation

d. Weak positive correction

Feedback

The correct answer is: Strong positive correction

The symbol used to measure the strength and direction of a linear correlation

Select one:

a. r2

b. r

c. XY

d. None of the choices Incorrect

Feedback

The correct answer is: r

It is also called independent variable

Select one:

a. Explanatory variable

b. Response variable Incorrect

c. Trend variable

d. Correlation variable

Feedback

The correct answer is: Explanatory variable

Salary and number of years of experience

Select one:

a. Number of years is the explanatory variable and salary is the response variable Correct

b. Salary is the explanatory variable and number of years is the response variable

c. Cannot be determined

Feedback

The correct answer is: Number of years is the explanatory variable and salary is the response variable

Describe the relationship based when r value = 0.20

Select one:

a. No apparent correlation

b. Minimal positive correction Incorrect

c. Weak positive correction

d. Strong positive correction

Feedback

The correct answer is: Weak positive correction

Expenditure is an example of a

Select one:

a. Trend variable

b. Explanatory variable

c. Correlation variable

d. Response variable Correct

Feedback

The correct answer is: Response variable

Short Quiz 16 Stats

The equation y=2x2 + 9 will produce a

Select one:

a. Parabola Correct

b. Ellipse

c. Circle

d. Straight line

Feedback

The correct answer is: Parabola

When slope is positive,

Select one:

a. y increases as x increases Correct

b. y decreases as x increases

c. y increases, x values approaches point of origin

d. y decreases, x values approaches 1

Feedback

The correct answer is: y increases as x increases

In the slope-intercept equation of a line, the slope of the line is represented as the coefficient of the variable x.

Select one:

a. FALSE

b. Cannot be determined

c. TRUE Correct

Feedback

The correct answer is: TRUE

Given the table below, what is the linear equation?

Select one:

a. y=3x + 11 Incorrect

b. y=6x + 5

c. y=8x + 3

d. y=3x + 8

Feedback

Your answer is incorrect.

The correct answer is: y=8x + 3

If the line has no slope,

Select one:

a. The line is a horizontal line

b. The line is at the point of origin

c. The line intercepts the x and y axis

d. The line lies at the x axis Incorrect

Feedback

The correct answer is: The line is a horizontal line

Given the table below, what is the slope?

Select one:

a. 9

b. 11

c. 8

d. 3 Incorrect

Feedback

Your answer is incorrect.

The correct answer is: 8

Given the equation y = 7x+ 30, what is the slope?

Answer:

4.2

Incorrect

Feedback

The correct answer is: 7

Given the table and graph, determine the slope intercept equation.

Select one:

a. y=5x + 1

b. y=10x + 2 Incorrect

c. y=5x + 2

d. y=10x + 1

Feedback

Your answer is incorrect.

The correct answer is: y=5x + 1

Given the equation 9y = 2x + 81, what is the y intercept?

Answer:

Incorrect

Feedback

The correct answer is: 9

The equation y=mx + b is also known as

Select one:

a. slope intercept form

b. y intercept Incorrect

c. correlation intercept form

d. xy intercept form

Feedback

The correct answer is: slope intercept form

Learning Activity 16 Stats

Given the equation y = 3x+ 10, what is the slope?

Answer:

Correct

Feedback

The correct answer is: 3

Given the table and graph, determine the slope intercept equation.

Select one:

a. y=3x + 1

b. 2y=6x + 3

c. y=-3x + 3 Correct

d. 2y=6x + 1

The correct answer is: y=-3x + 3

Given the table below, what is the slope?

Select one:

a. 2 Correct

b. 1

c. 8

d. 7

Feedback

Your answer is correct.

The correct answer is: 2

Given the equation 2y = 3x + 10, what is the y intercept?

Answer:

Incorrect

Feedback

The correct answer is: 5

Given the table below, what is the linear equation?

Select one:

a. y=2x + 7 Correct

b. y=5x + 2

c. y=7x + 1

d. y=7x + 5

Feedback

Your answer is correct.

The correct answer is: y=2x + 7

Write the slope-intercept equation of the line that has slope 6 and y-intercept 4.
answer: 6x+4

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Sampling distribution of proportions is randomly distributed.
A: FALSE. Replace the word Sampling distribution with Confidence Coefficient - correct

Given n=60, x̄ =250, s=3, 99% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.
A: (58.59, 61.41) - correct

Find the sample size given 95% confidence, Margin of Error = 0.12 and ̂p = 0.30.
A: 57 - correct

Margin of Error is in the center of the confidence interval?
A: FALSE. Replace the word “Margin of Error” with “Point Estimate” - correct

Given the sample size (n=230) and sample proportion (p=0.35), find the approximate margin of error for the 95% confidence interval:
A: 0.083 - correct

Find the sample size given 90% confidence, Margin of Error = 0.05 and ̂p =0.30.
A: 228 - correct

Find the sample size given 90% confidence, Margin of Error = 0.08 and ̂p =0.30.
A: 89 - correct

Find the sample size given 99% confidence, Margin of Error = 0.20 and ̂p =0.30.
A: 35 - correct

True of False. The series of disconnected points is referred to as Bivariate.
A: false - correct

Find the sample size given 99% confidence, Margin of Error = 0.25 and ̂p =0.30.
A: 23 - correct

Given n=20, x̄ =30, s=2, 90% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
A: 0.74 - correct

Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
µ = 20.8, σ = 4, n = 99, x̄ = 21.2
A: 0.99 - correct

Common choices of confidence level are
A: 90%, 95%, 99% - correct

Identify the following formula: 1- q̂
A: Sample Proportion - correct

Proportion is a fraction expression where the _____________________ is in the numerator and the _____________________ is the denominator.
A: Favorable response, Total number of responses - correct

A sample is small when n≤30
A: The statement is FALSE. Replace the word small with large. - correct

Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.60
A: Do not Reject - correct

Find the sample size given 95% confidence, Margin of Error = 0.05 and ̂p=0.15.
A:196 - correct

Given n=50, x̄ =250, s=4, 90% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.
A: (249.07, 250.93) – correct

Given the sample size (n=250) and sample proportion (p=0.40), find the approximate margin of error for the 90% confidence interval:
A: 0.05 - correct

Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
µ = 31.2, σ = 3, n = 66, x̄ = 32
A: 2.17 - correct

Find the sample size given 95% confidence, Margin of Error = 0.10 and ̂p =0.30.
A: 81 - correct

Find the sample size given 99% confidence, Margin of Error = 0.10 and ̂p =0.35.
A: 152 – correct

The management of a local grocery store wants to estimate the average amount their customers spend at the store to within 0.50 pesos, with a 90% confidence. What is the minimum sample size required, if the standard deviation is assumed to be 4.50 pesos.
A: 220 - correct

Find the sample size given 90% confidence, Margin of Error = 0.08 and ̂p =0.25.
A: 80 - correct

Find the sample size given 99% confidence, Margin of Error = 0.11 and ̂p = 0.35.
A: 126 - correct

Given the sample size (n=150) and sample proportion (p=0.35), find the approximate margin of error for the 95% confidence interval:
A: 0.07 – correct

A survey was conducted to 200 Grade 6 students who uses the internet in research instead of the school library. Based on the survey, 160 students responded Yes. What is the population proportion to students who uses the library in their research?
A: 80% - correct

St. Therese senior high school have an average achievement test score of 900. From a random sample of 169 students St. Therese students we find the average achievement test score to be 850 with a standard deviation of 88. We want to know if these high school students are representative of the overall population: What can we conclude based on the hypotheses and test statistic?
A: Reject null hypothesis - correct

Given n=20, x̄ =89, s=2, 99% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
A: 1.15 - correct

Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
0.1 – correct

Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
– 3.1
A: reject – correct

Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.0
A: do not reject - correct

When the confidence level is 90%, the Confidence coefficients is +-
A: 1.645 - correct

Bivariate is defined as the analysis of a single variable.
A: false - correct

Which of the following is a characteristics of a bivariate?
A: All of the choices - correct

Given the equation 3y = x+15, what is the y intercept?
A: 5 - correct

Given the equation 9y = x+9, what is the y intercept?
A: 1 - correct

Scatter plot is a series of connected points to form a line.
A: false - correct

Year is an example of a
A: Explanatory variable - correct

Given the equation y = 8x+ 14, what is the slope?
A: 8 - correct

A perfect correlation pattern is produced when
A: Points on a scatterplot lie on a straight line - correct

If the line has no slope or equal to zero
The line is a horizontal line - correct

The equation y=2x2 + 9 will produce a
A: parabola - correct

Three characteristics of a bivariate are
A: Shape, direction and strength - correct

Which of the following is INCORRECT about correlation coefficient.
A: correlation coefficient can never be a zero value - correct

The equation y=8x2 + 4 will produce a
A: parabola - correct

House rent and house floor area
A: House floor area is the explanatory variable and house rent is the response variable - correct

Given the equation 5y = 20x+ 30, what is the slope?
A: 4 - correct

In the slope-intercept equation of a line, the slope of the line is represented as the coefficient of the variable y.
A: FALSE – correct

Given the equation 3y = 21x + 9, what is the slope?
A: 7

Given the equation 9y = 18x + 9, what is the slope?
A: 2

Using the following data, find the lower bound of confidence interval. Your answer must be in 3 decimal places.
n=700, p̂ = 0.75, 95% confidence
A: 0.718 - correct

Using the following data, find the upper bound of confidence interval. Your answer must be in 3 decimal places.
n=700, p̂ = 0.75, 95% confidence

A: 0.780 - correct

Using the following data, find the margin of error. Your answer must be in 3 decimal places
n=400, p̂ = 0.75, 90% confidence
A: 0.036 - correct

Given the following data, find the lower bound of confidence interval. Your answer must be in two decimal places.
Sample size = 100, Mean = 80, Standard Deviation = 20, Confidence coefficient = 1.645
A: 76.71 - correct

Given the following data, find the lower bound of confidence interval. Your answer must be in two decimal places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
A: 69.84 – correct

Given the following data, find the upper bound of confidence interval. Your answer must be in two decimal places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
A: 80.16 - correct

Given the following data, find the margin of error. Your answer must be in two decimal places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
A: 5.16 - correct