Instruction 9-2 a Student Claims That She Can Correctly Identify Whether a Whether

Multiple Choice

Instruction 9-2
A student claims that she can correctly identify whether a person is studying a business or science major by the way the person dresses.Suppose in actuality that if someone is studying a business major,she can correctly identify that person as a business student 87% of the time.When a person is studying a science major,the student will incorrectly identify that person as a business student 16% of the time.Presented with one person and asked to identify the area of study of this person (who is studying either a business or science major) ,she considers this to be a hypothesis test with the null hypothesis being that the person is a business student and the alternative that the person is a science student.
-Referring to Instruction 9-2,what is the power of the test?

A) 0.13
B) 0.16
C) 0.84
D) 0.87