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 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 student (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 porbability of Type II error (B) is:

How do you calculate the probability of a type 2 error?

Explanation / Answer

By definition the type-II error is the error of not rejecting a false null hypothesis. Here our null hypothesis is that the person is a business major.

So, a type-II error will be committed if we accept that if a person is business major when indeed he is not.

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