SCENARIO 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 Scenario 9-2, what is the value of $\alpha$ ?
A) 0.13
B) 0.16
C) 0.84
D) 0.87

Question

Quizplus · Accepted Answer

The value of $\alpha$ is the probability of a Type I error, which is rejecting the null hypothesis when it is true. Here, it is the probability of incorrectly identifying a business major as an agriculture major, which is 1 - 0.87 = 0.13.

SCENARIO 9-2 a Student Claims That He Can Correctly Identify α\alphaα

SCENARIO 9-2
a Student Claims That He Can Correctly Identify $\alpha$