Question 1

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

Accepted Answer

A)  p-value = $\alpha$ 
B)  p-value  $\alpha$ 
D)  -$\alpha$ < p-value < $\alpha$ 
A)  p-value = $\alpha$ 
B)  p-value  $\alpha$ 
D)  -$\alpha$ < p-value < $\alpha$

Question 2

A p-value is a probability, and must be between 0 and 1.

Accepted Answer

A) True 
 B)False

Question 3

The owner of a local nightclub has recently surveyed a random sample of n = 300 customers of the club. She would now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 35.5 years and the population standard deviation was 5 years. What is the p-value associated with the test statistic?

Accepted Answer

A)  0.9582 
B)  1.7300 
C)  0.0418 
D)  0.0836 
A)  0.9582 
B)  1.7300 
C)  0.0418 
D)  0.0836

Question 4

The probability of a Type II error is denoted by:

Accepted Answer

A)  $\alpha$ 
B)  $\beta$ 
C)  1 - $\alpha$ 
D)  1 -$\beta$ 
A)  $\alpha$ 
B)  $\beta$ 
C)  1 - $\alpha$ 
D)  1 -$\beta$

Question 5

The probability of a Type I error is denoted by:

Accepted Answer

A)  $\beta$ 
B)  1 - $\beta$ 
C)  $\alpha$ 
D)  1 -$\alpha$ 
A)  $\beta$ 
B)  1 - $\beta$ 
C)  $\alpha$ 
D)  1 -$\alpha$

Question 6

In a two-tail test for the population mean, the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that:

Accepted Answer

A)  z > z $\alpha$ 
B)  z $\alpha$ 
C)  -zF $\alpha$  $\alpha$ 
D)  | z | > z $\alpha$  / 2 
A)  z > z $\alpha$ 
B)  z $\alpha$ 
C)  -zF $\alpha$  $\alpha$ 
D)  | z | > z $\alpha$  / 2

Question 7

Using the confidence interval when conducting a two-tail test for the population mean $\mu$, we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

Accepted Answer

A) True 
 B)False

Question 8

What is the conclusion from the hypothesis test using $\alpha$= .05?

Accepted Answer

Since the p-value = 0.0064 < .05, we rej

Question 9

A Type II error is defined as:

Accepted Answer

A)  rejecting a true null hypothesis. 
B)  rejecting a false null hypothesis. 
C)  not rejecting a true null hypothesis. 
D)  not rejecting a false null hypothesis. 
A)  rejecting a true null hypothesis. 
B)  rejecting a false null hypothesis. 
C)  not rejecting a true null hypothesis. 
D)  not rejecting a false null hypothesis.

Question 10

Marathon Runners: A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: HS1U1B10S1U1B0: $\mu$=25 miles vs. HS1U1B11S1U1B0: $\mu$ $\neq$ 25 miles, a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10, produced a mean of 22.8 miles weekly.
-Compute the value of the test statistic and specify the rejection region associated with 5% significance level.

Accepted Answer

Test statistic: z =

Question 11

We have created a 95% confidence interval for $\mu$ with the results (10, 25). What conclusion will we make if we test H0: $\mu$= 26 vs. H1: $\mu$ $\neq$ 26 at $\alpha$= 0.025?

Accepted Answer

A)  Reject H0 in favor of H1 
B)  Accept H0 in favor of H1 
C)  Fail to reject H0 in favor of H1 
D)  We cannot tell from the information given. 
A)  Reject H0 in favor of H1 
B)  Accept H0 in favor of H1 
C)  Fail to reject H0 in favor of H1 
D)  We cannot tell from the information given.

Question 12

There is a direct relationship between the power of a test and the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 13

If a marketer wishes to determine whether there is evidence that average family income in a community exceeds $32,000:

Accepted Answer

A)  either a one-tail or two-tail test could be used with equivalent results. 
B)  a one-tail test should be utilized. 
C)  a two-tail test should be utilized. 
D)  None of these choices. 
A)  either a one-tail or two-tail test could be used with equivalent results. 
B)  a one-tail test should be utilized. 
C)  a two-tail test should be utilized. 
D)  None of these choices.

Question 14

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the rejection region method. The other approach is the ____________________ method.

Accepted Answer

The answer of There are two approaches to making a...

Question 15

In order to determine the p-value, it is necessary to know the level of significance.

Accepted Answer

A) True 
 B)False

Question 16

The power of a test is denoted by:

Accepted Answer

A) $\alpha$ 
B)  $\beta$ 
C)  1 - $\alpha$ 
D)  1 - $\beta$ 
A) $\alpha$ 
B)  $\beta$ 
C)  1 - $\alpha$ 
D)  1 - $\beta$

Question 17

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the ____________________ method. The other approach is the p-value method.

Accepted Answer

The answer of There are two approaches to making a...

Question 18

Suppose we wish to test H0: $\mu$ = 45 vs. H1: $\mu$  $\gt$ 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

Accepted Answer

A)  We have made a Type I error. 
B)  We have made a Type II error. 
C)  We have made both a Type I error and a Type II error. 
D)  We have made the correct decision. 
A)  We have made a Type I error. 
B)  We have made a Type II error. 
C)  We have made both a Type I error and a Type II error. 
D)  We have made the correct decision.

Question 19

Statisticians can translate p-values into several descriptive terms. Suppose you typically reject H0 at level 0.05. Which of the following statements is correct?

Accepted Answer

A)  If the p-value  0.10, there is no evidence to infer that the alternative hypothesis is true. 
D)  All of these choices are true. 
A)  If the p-value  0.10, there is no evidence to infer that the alternative hypothesis is true. 
D)  All of these choices are true.

Question 20

A Type II error is committed if we make:

Accepted Answer

A)  a correct decision when the null hypothesis is false. 
B)  a correct decision when the null hypothesis is true. 
C)  an incorrect decision when the null hypothesis is false. 
D)  an incorrect decision when the null hypothesis is true. 
A)  a correct decision when the null hypothesis is false. 
B)  a correct decision when the null hypothesis is true. 
C)  an incorrect decision when the null hypothesis is false. 
D)  an incorrect decision when the null hypothesis is true.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

A p-value is a probability, and must be between 0 and 1.

The probability of a Type II error is denoted by:

The probability of a Type I error is denoted by:

In a two-tail test for the population mean, the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that:

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ , we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

What is the conclusion from the hypothesis test using $\alpha$ = .05?

A Type II error is defined as:

We have created a 95% confidence interval for $\mu$ with the results (10, 25). What conclusion will we make if we test H₀: $\mu$ = 26 vs. H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

There is a direct relationship between the power of a test and the probability of a Type II error.

If a marketer wishes to determine whether there is evidence that average family income in a community exceeds $32,000:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the rejection region method. The other approach is the ____________________ method.

In order to determine the p-value, it is necessary to know the level of significance.

The power of a test is denoted by:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the ____________________ method. The other approach is the p-value method.

Suppose we wish to test H₀: $\mu$ = 45 vs. H₁: $\mu$ $\gt$ 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

Statisticians can translate p-values into several descriptive terms. Suppose you typically reject H₀ at level 0.05. Which of the following statements is correct?

A Type II error is committed if we make:

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 10: Introduction to Hypothesis Testing

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

A p-value is a probability, and must be between 0 and 1.

The probability of a Type II error is denoted by:

The probability of a Type I error is denoted by:

In a two-tail test for the population mean, the null hypothesis will be rejected at α\alphaα level of significance if the value of the standardized test statistic z is such that:

Using the confidence interval when conducting a two-tail test for the population mean μ\muμ , we do not reject the null hypothesis if the hypothesized value for μ\muμ falls between the lower and upper confidence limits.

What is the conclusion from the hypothesis test using α\alphaα = .05?

A Type II error is defined as:

We have created a 95% confidence interval for μ\muμ with the results (10, 25). What conclusion will we make if we test H0: μ\muμ = 26 vs. H1: μ\muμ ≠\neq= 26 at α\alphaα = 0.025?

There is a direct relationship between the power of a test and the probability of a Type II error.

If a marketer wishes to determine whether there is evidence that average family income in a community exceeds $32,000:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the rejection region method. The other approach is the ____________________ method.

In order to determine the p-value, it is necessary to know the level of significance.

The power of a test is denoted by:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the ____________________ method. The other approach is the p-value method.

Suppose we wish to test H0: μ\muμ = 45 vs. H1: μ\muμ >\gt> 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

Statisticians can translate p-values into several descriptive terms. Suppose you typically reject H0 at level 0.05. Which of the following statements is correct?

A Type II error is committed if we make:

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

In a two-tail test for the population mean, the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that:

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ , we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

What is the conclusion from the hypothesis test using $\alpha$ = .05?

We have created a 95% confidence interval for $\mu$ with the results (10, 25). What conclusion will we make if we test H₀: $\mu$ = 26 vs. H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

Suppose we wish to test H₀: $\mu$ = 45 vs. H₁: $\mu$ $\gt$ 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

Statisticians can translate p-values into several descriptive terms. Suppose you typically reject H₀ at level 0.05. Which of the following statements is correct?