Question 1

Which of the following is an example of a null hypothesis?

Accepted Answer

A)  This industrial process makes windshields having an average length equal to 33 inches. 
B)  The average quantity of detergent put into a box by this filling machine is not 1 pound. 
C)  This shipping company's average delivery time is different from 3 days. 
D)  The average thickness of aluminum sheets is not 0.03 inches, as required. 
A)  This industrial process makes windshields having an average length equal to 33 inches. 
B)  The average quantity of detergent put into a box by this filling machine is not 1 pound. 
C)  This shipping company's average delivery time is different from 3 days. 
D)  The average thickness of aluminum sheets is not 0.03 inches, as required. A

Question 2

For a given data set and confidence level, the confidence interval of the population proportion p will be wider for 95% confidence than for 90% confidence.

Accepted Answer

A) True 
 B)False  True

Question 3

The p-value for a hypothesis test is set up by the decision maker to minimize the probability of committing a Type I error.

Accepted Answer

A) True 
 B)False  False

Question 4

The width of a confidence interval estimate for a proportion will be narrower for 99% confidence than for 95% confidence.

Accepted Answer

A) True 
 B)False

Question 5

If you wish to estimate the difference between two population means using two independent large samples, the 90% confidence interval estimate can be constructed using which of the following critical values?

Accepted Answer

A)  2.33 
B)  1.96 
C)  1.645 
D)  1.28 
A)  2.33 
B)  1.96 
C)  1.645 
D)  1.28

Question 6

The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population means, but your statistical software provides only a one-tail area of 0.156 as part of its output. The p-value for this test will be 0.078.

Accepted Answer

A) True 
 B)False

Question 7

In testing the hypothesis   , the following information is known: n = 64,   = 78, and   = 10. In this case, what is the value of the test statistic?

Accepted Answer

A)  +2.4 
B)  +1.96 
C)  -1.96 
D)  -2.4 
A)  +2.4 
B)  +1.96 
C)  -1.96 
D)  -2.4

Question 8

In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion   , what should we do?

Accepted Answer

A)  take another sample and estimate 
B)  take two more samples and find the average of their's 
C)  let= 0.50 
D)  let= 0.95 
A)  take another sample and estimate 
B)  take two more samples and find the average of their's 
C)  let= 0.50 
D)  let= 0.95

Question 9

If a hypothesis test is to be conducted using   = 0.025, what does that imply about the test?

Accepted Answer

A)  There is a 2.5% chance that the null hypothesis is true. 
B)  There is a maximum 2.5% chance that a false null hypothesis will be rejected. 
C)  There is a maximum 2.5% chance that a true null hypothesis will be rejected. 
D)  There is 2.5% chance of committing a Type I error and 97.5% chance of committing a Type II error. 
A)  There is a 2.5% chance that the null hypothesis is true. 
B)  There is a maximum 2.5% chance that a false null hypothesis will be rejected. 
C)  There is a maximum 2.5% chance that a true null hypothesis will be rejected. 
D)  There is 2.5% chance of committing a Type I error and 97.5% chance of committing a Type II error.

Question 10

In a criminal trial, when is a Type I error committed?

Accepted Answer

A)  when a guilty defendant is acquitted 
B)  when an innocent person is convicted 
C)  when a guilty defendant is convicted 
D)  when an innocent person is acquitted 
A)  when a guilty defendant is acquitted 
B)  when an innocent person is convicted 
C)  when a guilty defendant is convicted 
D)  when an innocent person is acquitted

Question 11

What would be the lower limit of a confidence interval, at the 95% level of confidence, for the population proportion if a sample of size 200 had 40 successes?

Accepted Answer

A)  0.2554 
B)  0.2465 
C)  0.1535 
D)  0.1446 
A)  0.2554 
B)  0.2465 
C)  0.1535 
D)  0.1446

Question 12

Which of the following p-values will lead us to reject the null hypothesis if the level of significance   0.05?

Accepted Answer

A)  0.025 
B)  0.05 
C)  0.10 
D)  0.20 
A)  0.025 
B)  0.05 
C)  0.10 
D)  0.20

Question 13

When testing   vs.   , the observed value of the z-score was found to be -2.15. What would the p-value for this test be?

Accepted Answer

A)  0.0158 
B)  0.0316 
C)  0.9684 
D)  0.9842 
A)  0.0158 
B)  0.0316 
C)  0.9684 
D)  0.9842

Question 14

When testing   vs.   , an increase in the sample size will result in a decrease in the probability of committing a Type I error.

Accepted Answer

A) True 
 B)False

Question 15

In hypothesis testing, the statement of the null hypothesis always contains the equality sign.

Accepted Answer

A) True 
 B)False

Question 16

When is a Type I error committed?

Accepted Answer

A)  when we reject a true null hypothesis 
B)  when we reject a false null hypothesis 
C)  when we don't reject a false null hypothesis 
D)  when we don't reject a true null hypothesis 
A)  when we reject a true null hypothesis 
B)  when we reject a false null hypothesis 
C)  when we don't reject a false null hypothesis 
D)  when we don't reject a true null hypothesis

Question 17

Increasing the sizes of the samples in a study to estimate the difference between two population means will increase the probability of committing a Type I error.

Accepted Answer

A) True 
 B)False

Question 18

A survey claims that 9 of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative, that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin. What is the approximate value of the test statistic in this ?

Accepted Answer

A)  -2.33 
B)  -1.86 
C)  -1.67 
D)  -0.14 
A)  -2.33 
B)  -1.86 
C)  -1.67 
D)  -0.14

Question 19

The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population proportions. If the value of the test statistic is 2.05, what is the p-value?

Accepted Answer

A)  0.4798 
B)  0.2399 
C)  0.0404 
D)  0.0202 
A)  0.4798 
B)  0.2399 
C)  0.0404 
D)  0.0202

Question 20

What is the p-value of a test?

Accepted Answer

A)  It is the smallestat which the null hypothesis can be rejected. 
B)  It is the largestat which the null hypothesis can be rejected. 
C)  It is the smallestat which the null hypothesis cannot be rejected. 
D)  It is the largestat which the null hypothesis cannot be rejected. 
A)  It is the smallestat which the null hypothesis can be rejected. 
B)  It is the largestat which the null hypothesis can be rejected. 
C)  It is the smallestat which the null hypothesis cannot be rejected. 
D)  It is the largestat which the null hypothesis cannot be rejected.

Which of the following is an example of a null hypothesis?

For a given data set and confidence level, the confidence interval of the population proportion p will be wider for 95% confidence than for 90% confidence.

The p-value for a hypothesis test is set up by the decision maker to minimize the probability of committing a Type I error.

The width of a confidence interval estimate for a proportion will be narrower for 99% confidence than for 95% confidence.

If you wish to estimate the difference between two population means using two independent large samples, the 90% confidence interval estimate can be constructed using which of the following critical values?

The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population means, but your statistical software provides only a one-tail area of 0.156 as part of its output. The p-value for this test will be 0.078.

In testing the hypothesis , the following information is known: n = 64, = 78, and = 10. In this case, what is the value of the test statistic?

In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion , what should we do?

If a hypothesis test is to be conducted using = 0.025, what does that imply about the test?

In a criminal trial, when is a Type I error committed?

What would be the lower limit of a confidence interval, at the 95% level of confidence, for the population proportion if a sample of size 200 had 40 successes?

Which of the following p-values will lead us to reject the null hypothesis if the level of significance 0.05?

When testing vs. , the observed value of the z-score was found to be -2.15. What would the p-value for this test be?

When testing vs. , an increase in the sample size will result in a decrease in the probability of committing a Type I error.

In hypothesis testing, the statement of the null hypothesis always contains the equality sign.

When is a Type I error committed?

Increasing the sizes of the samples in a study to estimate the difference between two population means will increase the probability of committing a Type I error.

The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population proportions. If the value of the test statistic is 2.05, what is the p-value?

What is the p-value of a test?

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

A: probability and Probability Distributions

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

A: The Analysis of Variance

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

Filters

Exam 9: A: large-Sample Tests of Hypotheses

Which of the following is an example of a null hypothesis?

For a given data set and confidence level, the confidence interval of the population proportion p will be wider for 95% confidence than for 90% confidence.

The p-value for a hypothesis test is set up by the decision maker to minimize the probability of committing a Type I error.

The width of a confidence interval estimate for a proportion will be narrower for 99% confidence than for 95% confidence.

If you wish to estimate the difference between two population means using two independent large samples, the 90% confidence interval estimate can be constructed using which of the following critical values?

The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population means, but your statistical software provides only a one-tail area of 0.156 as part of its output. The p-value for this test will be 0.078.

In testing the hypothesis , the following information is known: n = 64, = 78, and = 10. In this case, what is the value of the test statistic?

In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion , what should we do?

If a hypothesis test is to be conducted using = 0.025, what does that imply about the test?

In a criminal trial, when is a Type I error committed?

What would be the lower limit of a confidence interval, at the 95% level of confidence, for the population proportion if a sample of size 200 had 40 successes?

Which of the following p-values will lead us to reject the null hypothesis if the level of significance 0.05?

When testing vs. , the observed value of the z-score was found to be -2.15. What would the p-value for this test be?

When testing vs. , an increase in the sample size will result in a decrease in the probability of committing a Type I error.

In hypothesis testing, the statement of the null hypothesis always contains the equality sign.

When is a Type I error committed?

Increasing the sizes of the samples in a study to estimate the difference between two population means will increase the probability of committing a Type I error.

The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population proportions. If the value of the test statistic is 2.05, what is the p-value?

What is the p-value of a test?

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

A: probability and Probability Distributions

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

A: The Analysis of Variance

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

Filters