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

Question

A student claims that he can correctly identify whether a person is an business major or an engineering major by the way the person dresses. Suppose in actuality that he can correctly identify a business major 99% of the time. 94% of the time he correctly identifies an engineering major (by rejecting as a business major). Presented with one person and asked to identify the major of this person (who is either a business or engineering 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 engineering major. The Probability of a Type II Error(Beta) is:

Explanation / Answer

Solution :

Given that ,

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 engineering major.

The Probability of a Type II Error(Beta) is,

The person is a business major when in fact the person is an engineering major .

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