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The dean of a business college in the Midwest claims that he can correctly identify whether a student is a finance major or a music industry management major by the way the student dresses.Suppose in actuality that he can correctly identify finance majors 84% of the time,while 16% of the time he mistakenly identifies a music industry management major as a finance major.Presented with one student and asked to identify the major of this student (who is either a finance or music industry management major),the dean considers this to be a hypothesis test with the null hypothesis being that the student is a finance major and the alternative that the student is a music industry management major.
-Which of the following statements is an example of power of the test?
A)The probability of saying that the student is a music industry management major when in fact the student is a finance major.
B)The probability of saying that the student is a finance major when in fact the student is a finance major.
C)The probability of saying that the student is a finance major when in fact the student is a music industry management major.
D)The probability of saying that the student is a music industry management major when in fact the student is a music industry management major.

Question

Quizplus · Accepted Answer

The power of a test is the probability of correctly rejecting the null hypothesis when it is false. In this scenario, rejecting the null hypothesis means identifying a student as a music industry management major when they are indeed a music industry management major, which is what choice D describes.

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