Solved: Exercises 58 to 60 refer to the following setting. A study of road rage asked

Chapter 10, Problem 58

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QUESTION:

Exercises 58 to 60 refer to the following setting. A study of road rage asked random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each person was assigned a road rage score on a scale of 0 to 20. The participants were chosen by random digit dialing of phone numbers. The researchers performed a test of the following hypotheses: H0:mM = mF versus Ha:mM mF.Which of the following describes a Type II error inthe context of this study?(a) Finding convincing evidence that the true means aredifferent for males and females, when in reality thetrue means are the same(b) Finding convincing evidence that the true means aredifferent for males and females, when in reality thetrue means are different(c) Not finding convincing evidence that the true meansare different for males and females, when in realitythe true means are the same(d) Not finding convincing evidence that the true meansare different for males and females, when in realitythe true means are different(e) Not finding convincing evidence that the true meansare different for males and females, when in reality thereis convincing evidence that the true means are different

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QUESTION:

Exercises 58 to 60 refer to the following setting. A study of road rage asked random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each person was assigned a road rage score on a scale of 0 to 20. The participants were chosen by random digit dialing of phone numbers. The researchers performed a test of the following hypotheses: H0:mM = mF versus Ha:mM mF.Which of the following describes a Type II error inthe context of this study?(a) Finding convincing evidence that the true means aredifferent for males and females, when in reality thetrue means are the same(b) Finding convincing evidence that the true means aredifferent for males and females, when in reality thetrue means are different(c) Not finding convincing evidence that the true meansare different for males and females, when in realitythe true means are the same(d) Not finding convincing evidence that the true meansare different for males and females, when in realitythe true means are different(e) Not finding convincing evidence that the true meansare different for males and females, when in reality thereis convincing evidence that the true means are different

ANSWER:

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The type II error is defined as the probability of accepting  when the alternative hypothesis is true.

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