TABLE 9-2
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.
-Referring to Table 9-2, what would be a Type II error?
A) Saying that the person is a business major when in fact the person is a business major
B) Saying that the person is a business major when in fact the person is an agriculture major
C) Saying that the person is an agriculture major when in fact the person is a business major
D) Saying that the person is an agriculture major when in fact the person is an agriculture major

Question

Quizplus · Accepted Answer

A Type II error is when the null hypothesis is not rejected when it is actually false. In this case, if the person is actually an agriculture major but the student incorrectly identifies them as a business major, that would be a Type II error. Therefore, the correct choice is B.

TABLE 9-2 a Student Claims That He Can Correctly Identify Whether a Whether