Question 1

As the test statistic becomes larger, the p-value

Accepted Answer

A)  gets smaller. 
B)  becomes larger. 
C)  goes beyond 1. 
D)  becomes negative. 
A)  gets smaller. 
B)  becomes larger. 
C)  goes beyond 1. 
D)  becomes negative. A

Question 2

A random sample of 25 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. The test statistic is

Accepted Answer

A)  1.96. 
B)  2.50. 
C)  1.65. 
D)  .05. 
A)  1.96. 
B)  2.50. 
C)  1.65. 
D)  .05. B

Question 3

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%. The p-value is

Accepted Answer

A)  .2112. 
B)  .05. 
C)  .025. 
D)  .1056. 
A)  .2112. 
B)  .05. 
C)  .025. 
D)  .1056. D

Question 4

​When the null hypothesis is rejected, it is​

Accepted Answer

A)  possible a Type I error has occurred. 
B)  ​not possible a Type I error has occurred. 
C)  possible a Type II error has occurred. 
D)  ​possible either a Type I or a Type II error has occurred. 
A)  possible a Type I error has occurred. 
B)  ​not possible a Type I error has occurred. 
C)  possible a Type II error has occurred. 
D)  ​possible either a Type I or a Type II error has occurred.

Question 5

If the probability of a Type I error (α) is .05, then the probability of a Type II error (β) must be

Accepted Answer

A)  .05. 
B)  .95. 
C)  .025. 
D)  Cannot be computed. 
A)  .05. 
B)  .95. 
C)  .025. 
D)  Cannot be computed.

Question 6

An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the critical value approach and the sample information reported below, carry out a test of this statement. Let α = .05.
sample size
400
women
168
men
232

Accepted Answer

H₀: p = .5 H_a: p ≠ .5

Question 7

Read the t statistic from the t distribution table and choose the correct answer. For a one-tailed test (lower tail), using a sample size of 14, and at the 5% level of significance, t =

Accepted Answer

A)  1.771. 
B)  1.761. 
C)  -1.771. 
D)  -1.762. 
A)  1.771. 
B)  1.761. 
C)  -1.771. 
D)  -1.762.

Question 8

The sum of the values of α and β

Accepted Answer

A)  is always 1. 
B)  is always .5. 
C)  gives the probability of taking the correct decision. 
D)  is not needed in hypothesis testing. 
A)  is always 1. 
B)  is always .5. 
C)  gives the probability of taking the correct decision. 
D)  is not needed in hypothesis testing.

Question 9

For the following hypothesis test, H0: μ ≥ 150
Ha: μ < 150
​
The test statistic

Accepted Answer

A)  must be negative. 
B)  must be positive. 
C)  can be either negative or positive. 
D)  must be a number between zero and one. 
A)  must be negative. 
B)  must be positive. 
C)  can be either negative or positive. 
D)  must be a number between zero and one.

Question 10

Read the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using α = .005, z =

Accepted Answer

A)  -2.575. 
B)  -1.645. 
C)  2.575. 
D)  1.645. 
A)  -2.575. 
B)  -1.645. 
C)  2.575. 
D)  1.645.

Question 11

In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting Rock City. The correct set of hypotheses is

Accepted Answer

A)  H0: p > .75 Ha: p   .75. 
B)  H0: p a: p   .75. 
C)  H0: p   .75 Ha: p 0: p   .75 Ha: p > .75. 
A)  H0: p > .75 Ha: p   .75. 
B)  H0: p a: p   .75. 
C)  H0: p   .75 Ha: p 0: p   .75 Ha: p > .75.

Question 12

In hypothesis tests about a population proportion, p0 represents the​

Accepted Answer

A)  ​hypothesized population proportion. 
B)  ​observed sample proportion. 
C)  ​observed p-value. 
D)  ​probability that H0 is correct. 
A)  ​hypothesized population proportion. 
B)  ​observed sample proportion. 
C)  ​observed p-value. 
D)  ​probability that H0 is correct.

Question 13

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error will

Accepted Answer

A)  also increase from .01 to .05. 
B)  not change. 
C)  decrease. 
D)  increase. 
A)  also increase from .01 to .05. 
B)  not change. 
C)  decrease. 
D)  increase.

Question 14

A two-tailed test is performed at the .05 level of significance. The p-value is determined to be .01. The null hypothesis

Accepted Answer

A)  must be rejected. 
B)  should not be rejected. 
C)  could be rejected, depending on the sample size. 
D)  has been designed incorrectly. 
A)  must be rejected. 
B)  should not be rejected. 
C)  could be rejected, depending on the sample size. 
D)  has been designed incorrectly.

Question 15

For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as

Accepted Answer

A)  likely as that provided by the sample. 
B)  unlikely as that provided by the sample. 
C)  likely as that provided by the population. 
D)  unlikely as that provided by the population. 
A)  likely as that provided by the sample. 
B)  unlikely as that provided by the sample. 
C)  likely as that provided by the population. 
D)  unlikely as that provided by the population.

Question 16

A grocery store has an average sales of $8000 per day. The store introduced several advertising campaigns in order to increase sales. To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. It was found that the average was $8200 per day. From past information, it is known that the standard deviation of the population is $1500. The value of the test statistic is

Accepted Answer

A)  .013. 
B)  .133. 
C)  13.33. 
D)  1.33. 
A)  .013. 
B)  .133. 
C)  13.33. 
D)  1.33.

Question 17

If the null hypothesis is rejected at the .05 level of significance, it will _____ be rejected at the .10 level of significance.

Accepted Answer

A)  always not 
B)  always 
C)  sometimes 
D)  sometimes not 
A)  always not 
B)  always 
C)  sometimes 
D)  sometimes not

Question 18

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

Accepted Answer

A) H0: μ a: μ 10.0%. B) H0: μ 10.0% Ha: μ > 10.0%. C) H0: μ > 10.0% Ha: μ 10.0%. D) H0: μ 10.0% Ha: μ < 10.0%. A) H0: μ a: μ 10.0%. B) H0: μ 10.0% Ha: μ > 10.0%. C) H0: μ > 10.0% Ha: μ 10.0%. D) H0: μ 10.0% Ha: μ < 10.0%.

Question 19

In the hypothesis testing procedure, α is the

Accepted Answer

A)  level of significance. 
B)  critical value. 
C)  confidence level. 
D)  p-value. 
A)  level of significance. 
B)  critical value. 
C)  confidence level. 
D)  p-value.

Question 20

The probability of committing a Type I error when the null hypothesis is true as an equality is

Accepted Answer

A)  the confidence level. 
B)  β. 
C)  greater than 1. 
D)  the level of significance. 
A)  the confidence level. 
B)  β. 
C)  greater than 1. 
D)  the level of significance.

As the test statistic becomes larger, the p-value

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%. The p-value is

When the null hypothesis is rejected, it is

If the probability of a Type I error (α) is .05, then the probability of a Type II error (β) must be

An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the critical value approach and the sample information reported below, carry out a test of this statement. Let α = .05. sample size 400 women 168 men 232

Read the t statistic from the t distribution table and choose the correct answer. For a one-tailed test (lower tail), using a sample size of 14, and at the 5% level of significance, t =

The sum of the values of α and β

For the following hypothesis test, H₀: μ ≥ 150 H_a: μ < 150 The test statistic

Read the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using α = .005, z =

In hypothesis tests about a population proportion, p₀ represents the

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error will

A two-tailed test is performed at the .05 level of significance. The p-value is determined to be .01. The null hypothesis

For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as

If the null hypothesis is rejected at the .05 level of significance, it will _____ be rejected at the .10 level of significance.

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

In the hypothesis testing procedure, α is the

The probability of committing a Type I error when the null hypothesis is true as an equality is

Data and Statistics

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Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

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Statistical Methods for Quality Control

Sample Survey

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Exam 9: Hypothesis Tests

As the test statistic becomes larger, the p-value

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%. The p-value is

​When the null hypothesis is rejected, it is​

If the probability of a Type I error (α) is .05, then the probability of a Type II error (β) must be

An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the critical value approach and the sample information reported below, carry out a test of this statement. Let α = .05. sample size 400 women 168 men 232

Read the t statistic from the t distribution table and choose the correct answer. For a one-tailed test (lower tail), using a sample size of 14, and at the 5% level of significance, t =

The sum of the values of α and β

For the following hypothesis test, H0: μ ≥ 150 Ha: μ < 150 ​ The test statistic

Read the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using α = .005, z =

In hypothesis tests about a population proportion, p0 represents the​

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error will

A two-tailed test is performed at the .05 level of significance. The p-value is determined to be .01. The null hypothesis

For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as

If the null hypothesis is rejected at the .05 level of significance, it will _____ be rejected at the .10 level of significance.

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

In the hypothesis testing procedure, α is the

The probability of committing a Type I error when the null hypothesis is true as an equality is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

When the null hypothesis is rejected, it is

For the following hypothesis test, H₀: μ ≥ 150 H_a: μ < 150 The test statistic

In hypothesis tests about a population proportion, p₀ represents the