A student claims that he can correctly identify whether a person is a business m

Question

A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that if someone is a business major, he can correctly identify that person as a business major 87% of the time. When a person is an agriculture major, the student will incorrectly identify that person as a business major 16% of the time. Presented with one person and asked to identify the major of this person (who is either a business or an agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major. a. 0.16 b. 0.84 C. 0.13 d. 0.87

Explanation / Answer

Here the hypothesis is as follows:

H0 : The person is business major.

H1 : The person is agriculture major.

We are given that,

He fails to identified the person is business major given he is agriculture major at 16% times.

This is nothing but the power of test.

Thus the power of test is 0.16

Also the power of test

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