Question 1

You cannot commit a(n) ____________________ error when the null hypothesis is true.

Accepted Answer

The answer of You cannot commit a(n) ____________________ error when...

Question 2

In order to determine the p-value, which of the following is not needed?

Accepted Answer

A)   The level of significance.
B)   Whether the test is one-tail or two-tail.
C)   The value of the test statistic.
D)   All of these choices are true.E) A) and C)
F) None of the above

Question 3

By ____________________ the significance level, you increase the probability of a Type II error.

Accepted Answer

The answer of By ____________________ the significance level, you increase...

Question 4

Reducing the probability of a Type I error also reduces the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 5

Explain why a Type I error and a Type II error have an inverse relationship.

Accepted Answer

In order to reduce the chance of a false...

Question 6

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following  α\alphaα -values do we also reject the null hypothesis?

Accepted Answer

A)   0.06
B)   0.04
C)   0.03
D)   0.02 E) B) and C)
F) A) and C)

Question 7

The rejection region for testing H0:  μ\muμ  =80 vs. H1:  μ\muμ    <\lt< 80, at the 0.10 level of significance is:

Accepted Answer

A)   z > 1.96
B)   z 
C)   z > 1.28
D)   z < -1.28 E) A) and D)
F) A) and C)

Question 8

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

Accepted Answer

A) True 
 B)False

Question 9

If we want to compute the probability of a Type II error, which of the following statements is false?

Accepted Answer

A)   We need to know the significance level  α\alphaα .
B)   We need to know the sample size n.
C)   We need to know the alternative value of the population mean  μ\muμ .
D)   All of these choices are true. E) A) and D)
F) All of the above

Question 10

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error) versus the values of the population mean$\mu$0.

Accepted Answer

A) True 
 B)False

Question 11

Using a standardized test statistic, test the hypothesis at the 5% level of significance if the sample mean filling weight is 48.6 ounces.

Accepted Answer

Test statistic: z = -1.40
Reje...

Question 12

Calculate the probability of a Type II error for the hypothesis test: H0: $\mu$ = 50 vs. H1: $\mu$ > 50, given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10, and n = 16.

Accepted Answer

= P(

< 54.113 give...

Question 13

The critical values z  α\alphaα   or z  α\alphaα   / 2 are the boundary values for:

Accepted Answer

A)   the rejection region(s) .
B)   the level of significance.
C)   Type I error.
D)   Type II error. E) All of the above
F) A) and B)

Question 14

The statement of the null hypothesis always includes an equals sign (=).

Accepted Answer

A) True 
 B)False

Question 15

If the probability of committing a Type I error for a given test is decreased, then for a fixed sample size n, the probability of committing a Type II error will:

Accepted Answer

A)   decrease.
B)   increase.
C)   stay the same.
D)   Not enough information to tell.E) A) and C)
F) None of the above

Question 16

There is an inverse relationship between the probabilities of Type I and Type II errors; as one increases, the other decreases, and vice versa.

Accepted Answer

A) True 
 B)False

Question 17

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.
-What can we conclude at the 5% significance level regarding the null hypothesis?

Accepted Answer

Fail to reject H₀. ...

Question 18

For a given level of significance, if the sample size is increased, the power of the test will increase.

Accepted Answer

A) True 
 B)False

Question 19

Which of the following would be an appropriate alternative hypothesis?

Accepted Answer

A)   The mean of a population is equal to 70.
B)   The mean of a sample is equal to 70.
C)   The mean of a population is greater than 70.
D)   The mean of a sample is greater than 70.E) A) and D)
F) B) and C)

Question 20

The power of a test is the probability that a true null hypothesis will be rejected.

Accepted Answer

A) True 
 B)False

Exam 10: Introduction to Hypothesis Testing

For a given level of significance, if the sample size is increased, the power of the test will increase.

Correct Answer
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Correct Answer
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Fail to reject H₀. ...
View Answer

If we want to compute the probability of a Type II error, which of the following statements is false?

Correct Answer
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If the probability of committing a Type I error for a given test is decreased, then for a fixed sample size n, the probability of committing a Type II error will:

Correct Answer
verified

The rejection region for testing H₀: $\mu$ =80 vs. H₁: $\mu$ $\lt$ 80, at the 0.10 level of significance is:

Correct Answer
verified

The critical values z _$\alpha$ or z _$\alpha$ _{/ 2} are the boundary values for:

Correct Answer
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Which of the following would be an appropriate alternative hypothesis?

Correct Answer
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The power of a test is the probability that a true null hypothesis will be rejected.

Correct Answer
verified

You cannot commit a(n) ____________________ error when the null hypothesis is true.

Correct Answer
verified

Explain why a Type I error and a Type II error have an inverse relationship.

Correct Answer
verified
In order to reduce the chance of a false...
View Answer

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following $\alpha$ -values do we also reject the null hypothesis?

Correct Answer
verified

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

Correct Answer
verified

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error) versus the values of the population mean $\mu$ 0.

Correct Answer
verified

Calculate the probability of a Type II error for the hypothesis test: H₀: $\mu$ = 50 vs. H₁: $\mu$ > 50, given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10, and n = 16.

Correct Answer
verified
= P( < 54.113 give...
View Answer

Using a standardized test statistic, test the hypothesis at the 5% level of significance if the sample mean filling weight is 48.6 ounces.

Correct Answer
verified
Test statistic: z = -1.40
Reje...
View Answer

Reducing the probability of a Type I error also reduces the probability of a Type II error.

Correct Answer
verified

By ____________________ the significance level, you increase the probability of a Type II error.

Correct Answer
verified

The statement of the null hypothesis always includes an equals sign (=).

Correct Answer
verified

There is an inverse relationship between the probabilities of Type I and Type II errors; as one increases, the other decreases, and vice versa.

Correct Answer
verified

In order to determine the p-value, which of the following is not needed?

Correct Answer
verified

Exam 10: Introduction to Hypothesis Testing

For a given level of significance, if the sample size is increased, the power of the test will increase.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedFail to reject H0. ...View AnswerShow Answer

If we want to compute the probability of a Type II error, which of the following statements is false?

Correct AnswerverifiedShow Answer

If the probability of committing a Type I error for a given test is decreased, then for a fixed sample size n, the probability of committing a Type II error will:

Correct AnswerverifiedShow Answer

The rejection region for testing H0: μ\muμ =80 vs. H1: μ\muμ <\lt< 80, at the 0.10 level of significance is:

Correct AnswerverifiedShow Answer

The critical values z α\alphaα or z α\alphaα / 2 are the boundary values for:

Correct AnswerverifiedShow Answer

Which of the following would be an appropriate alternative hypothesis?

Correct AnswerverifiedShow Answer

The power of a test is the probability that a true null hypothesis will be rejected.

Correct AnswerverifiedShow Answer

You cannot commit a(n) ____________________ error when the null hypothesis is true.

Correct AnswerverifiedShow Answer

Explain why a Type I error and a Type II error have an inverse relationship.

Correct AnswerverifiedIn order to reduce the chance of a false...View AnswerShow Answer

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following α\alphaα -values do we also reject the null hypothesis?

Correct AnswerverifiedShow Answer

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

Correct AnswerverifiedShow Answer

The operating characteristic curve plots the values of β\betaβ (the probability of committing a Type II error) versus the values of the population mean μ\muμ 0.

Correct AnswerverifiedShow Answer

Calculate the probability of a Type II error for the hypothesis test: H0: μ\muμ = 50 vs. H1: μ\muμ > 50, given that μ\muμ = 55, α\alphaα = 0.05, σ\sigmaσ = 10, and n = 16.

Correct Answerverified = P( < 54.113 give...View AnswerShow Answer

Using a standardized test statistic, test the hypothesis at the 5% level of significance if the sample mean filling weight is 48.6 ounces.

Correct AnswerverifiedTest statistic: z = -1.40Reje...View AnswerShow Answer

Reducing the probability of a Type I error also reduces the probability of a Type II error.

Correct AnswerverifiedShow Answer

By ____________________ the significance level, you increase the probability of a Type II error.

Correct AnswerverifiedShow Answer

The statement of the null hypothesis always includes an equals sign (=).

Correct AnswerverifiedShow Answer

There is an inverse relationship between the probabilities of Type I and Type II errors; as one increases, the other decreases, and vice versa.

Correct AnswerverifiedShow Answer

In order to determine the p-value, which of the following is not needed?

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified
Fail to reject H₀. ...
View Answer

Correct Answer
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Correct Answer
verified

The rejection region for testing H₀: $\mu$ =80 vs. H₁: $\mu$ $\lt$ 80, at the 0.10 level of significance is:

Correct Answer
verified

The critical values z _$\alpha$ or z _$\alpha$ _{/ 2} are the boundary values for:

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
In order to reduce the chance of a false...
View Answer

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following $\alpha$ -values do we also reject the null hypothesis?

Correct Answer
verified

Correct Answer
verified

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error) versus the values of the population mean $\mu$ 0.

Correct Answer
verified

Calculate the probability of a Type II error for the hypothesis test: H₀: $\mu$ = 50 vs. H₁: $\mu$ > 50, given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10, and n = 16.

Correct Answer
verified
= P( < 54.113 give...
View Answer

Correct Answer
verified
Test statistic: z = -1.40
Reje...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified