Question 1

You complete a hypothesis test using  = .05,and based on the evidence from the sample,your decision is to reject the null hypothesis.If the treatment actually does have an effect,which of the following is true?

Accepted Answer

A)  You have made a Type I error.
B)  You have made a Type II error.
C)  You might have made a Type I error,but the probability is only 5% at most.
D)  You have made the correct decision.

Question 2

Which of the following correctly describes the effect of increasing the alpha level (for example,from .01 to .05) ?

Accepted Answer

A)  Increase the likelihood of rejecting H0 and increase the risk of a Type I error
B)  Decrease the likelihood of rejecting H0 and increase the risk of a Type I error
C)  Increase the likelihood of rejecting H0 and decrease the risk of a Type I error
D)  Decrease the likelihood of rejecting H0 and decrease the risk of a Type I error

Question 3

Which of the following is directly addressed by the null hypothesis?

Accepted Answer

A)  The population before treatment
B)  The population after treatment
C)  The sample before treatment
D)  The sample after treatment

Question 4

A researcher selects a sample and administers a treatment to the individuals in the sample.If the sample is used for a hypothesis test,what does the alternative hypothesis (H1) say about the treatment?

Accepted Answer

A)  The treatment causes a change in the scores.
B)  The treatment adds a constant to each score.
C)  The treatment multiplies each score by a constant.
D)  The treatment has no effect on the scores.

Question 5

If a hypothesis test leads to rejecting the null hypothesis,it means that the sample data failed to provide sufficient evidence to conclude that the treatment has an effect.

Accepted Answer

A) True 
 B)False

Question 6

A researcher conducts a hypothesis test to evaluate the effect of a treatment.The hypothesis test produces a z-score of z = 2.37.Assuming that the researcher is using a two-tailed test,what decision should be made?

Accepted Answer

A)  The researcher should reject the null hypothesis with α = .05 but not with α = .01.
B)  The researcher should reject the null hypothesis with either α = .05 or α = .01.
C)  The researcher should fail to reject H0 with either α = .05 or α = .01.
D)  Cannot answer without additional information

Question 7

Which of the following will increase the power of a statistical test?

Accepted Answer

A)  Change α from .05 to .01
B)  Change from a one-tailed test to a two-tailed test
C)  Change the sample size from n = 25 to n = 100
D)  None of the other options will increase power.

Question 8

The alpha level determines the risk of a Type I error.

Accepted Answer

A) True 
 B)False

Question 9

A researcher administers a treatment to a sample of participants selected from a population with µ = 80.If the researcher obtains a sample mean of M = 88,which combination of factors is most likely to result in rejecting the null hypothesis?

Accepted Answer

A)  σ = 5 and n = 25
B)  σ = 5 and n = 50
C)  σ = 10 and n = 25
D)  σ = 10 and n = 50

Question 10

If all other factors are held constant,increasing the sample size from n = 25 to n = 100 will increase the power of a statistical test.

Accepted Answer

A) True 
 B)False

Question 11

Even if a treatment has an effect,it is still possible to obtain a sample mean that is very similar to the original population mean.What outcome is likely if this happens?

Accepted Answer

A)  Reject H0 and make a Type I error
B)  Correctly reject H0
C)  Fail to reject H0 and make a Type II error
D)  Correctly fail to reject H0

Question 12

Which of the following accurately describes the critical region?

Accepted Answer

A)  Outcomes with a very low probability if the null hypothesis is true
B)  Outcomes with a high probability if the null hypothesis is true
C)  Outcomes with a very low probability whether or not the null hypothesis is true
D)  Outcomes with a high probability whether or not the null hypothesis is true

Question 13

Which of the following accurately describes the effect of increasing the sample size?

Accepted Answer

A)  Increases the standard error and has no effect on the risk of a Type I error
B)  Decreases the standard error and has no effect on the risk of a Type I error
C)  Increases the risk of a Type I error and has no effect on the standard error
D)  Decreases the risk of a Type I error and has no effect on the standard error

Question 14

There is always a possibility that the decision reached in a hypothesis test is incorrect.

Accepted Answer

A) True 
 B)False

Question 15

You complete a hypothesis test using  = .05,and based on the evidence from the sample,your decision is to reject the null hypothesis.If the treatment actually has no effect,which of the following is true?

Accepted Answer

A)  You have made a Type I error.
B)  You have made a Type II error.
C)  You might have made a Type I error,but the probability is only 5% at most.
D)  You have made the correct decision.

Question 16

If the power for a hypothesis test is calculated to be 0.80,then for same test,the probability of a Type II error is 0.20.

Accepted Answer

A) True 
 B)False

Question 17

A researcher administers a treatment to a sample of n = 16 selected from a population with F1F1F1S1F1F1F10 = 40 and F1F1F1S1F1F1F10 = 8.If the sample mean after treatment is M = 42,then Cohen's d = 1.00.

Accepted Answer

A) True 
 B)False

Question 18

What is the relationship between the alpha level,the size of the critical region,and the risk of a Type I error?

Accepted Answer

A)  As the alpha level increases,the size of the critical region increases,and the risk of a Type I error increases.
B)  As the alpha level increases,the size of the critical region increases,and the risk of a Type I error decreases.
C)  As the alpha level increases,the size of the critical region decreases,and the risk of a Type I error increases.
D)  As the alpha level increases,the size of the critical region decreases,and the risk of a Type I error decreases.

Question 19

If a hypothesis test produces a z-score in the critical region,what decision should be made?

Accepted Answer

A)  Reject the alternative hypothesis
B)  Fail to reject the alternative hypothesis
C)  Reject the null hypothesis
D)  Fail to reject the null hypothesis

Question 20

Which of the following is an accurate definition for the power of a statistical test?

Accepted Answer

A)  The probability of rejecting a true null hypothesis
B)  The probability of supporting true null hypothesis
C)  The probability of rejecting a false null hypothesis
D)  The probability of supporting a false null hypothesis

Exam 8: Introduction to Hypothesis Testing

What is the relationship between the alpha level,the size of the critical region,and the risk of a Type I error?

Correct AnswerverifiedShow Answer

You complete a hypothesis test using  = .05,and based on the evidence from the sample,your decision is to reject the null hypothesis.If the treatment actually has no effect,which of the following is true?

Correct AnswerverifiedShow Answer

If a hypothesis test produces a z-score in the critical region,what decision should be made?

Correct AnswerverifiedShow Answer

Which of the following correctly describes the effect of increasing the alpha level (for example,from .01 to .05) ?

Correct AnswerverifiedShow Answer

A researcher administers a treatment to a sample of participants selected from a population with µ = 80.If the researcher obtains a sample mean of M = 88,which combination of factors is most likely to result in rejecting the null hypothesis?

Correct AnswerverifiedShow Answer

Even if a treatment has an effect,it is still possible to obtain a sample mean that is very similar to the original population mean.What outcome is likely if this happens?

Correct AnswerverifiedShow Answer

Which of the following is directly addressed by the null hypothesis?

Correct AnswerverifiedShow Answer

A researcher conducts a hypothesis test to evaluate the effect of a treatment.The hypothesis test produces a z-score of z = 2.37.Assuming that the researcher is using a two-tailed test,what decision should be made?

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A researcher administers a treatment to a sample of n = 16 selected from a population with  = 40 and  = 8.If the sample mean after treatment is M = 42,then Cohen's d = 1.00.

Correct AnswerverifiedShow Answer

The alpha level determines the risk of a Type I error.

Correct AnswerverifiedShow Answer

If the power for a hypothesis test is calculated to be 0.80,then for same test,the probability of a Type II error is 0.20.

Correct AnswerverifiedShow Answer

Which of the following is an accurate definition for the power of a statistical test?

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Which of the following will increase the power of a statistical test?

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Which of the following accurately describes the critical region?

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If a hypothesis test leads to rejecting the null hypothesis,it means that the sample data failed to provide sufficient evidence to conclude that the treatment has an effect.

Correct AnswerverifiedShow Answer

If all other factors are held constant,increasing the sample size from n = 25 to n = 100 will increase the power of a statistical test.

Correct AnswerverifiedShow Answer

You complete a hypothesis test using  = .05,and based on the evidence from the sample,your decision is to reject the null hypothesis.If the treatment actually does have an effect,which of the following is true?

Correct AnswerverifiedShow Answer

There is always a possibility that the decision reached in a hypothesis test is incorrect.

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Which of the following accurately describes the effect of increasing the sample size?

Correct AnswerverifiedShow Answer

A researcher selects a sample and administers a treatment to the individuals in the sample.If the sample is used for a hypothesis test,what does the alternative hypothesis (H1) say about the treatment?

Correct AnswerverifiedShow Answer

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A researcher selects a sample and administers a treatment to the individuals in the sample.If the sample is used for a hypothesis test,what does the alternative hypothesis (H₁) say about the treatment?

Correct Answer
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