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 businessmajor, he can correctly identify that person as a business major87% of the time. When a person is an agriculturemajor, the student will incorrectly identify that person as a business major16% of the time. Presented with one person and asked to identify the major of this person(who is either a business or an agriculturemajor), 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. What is the value of ?

A.

0.13

B.

0.16

C.

0.84

D.

0.87