Instruction 9-1
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 9-1,what would be a Type II error?
A) Saying that the person is a science student when in fact the person is a business student.
B) Saying that the person is a science student when in fact the person is a science student.
C) Saying that the person is a business student when in fact the person is a business student.
D) Saying that the person is a business student when in fact the person is a science student.

Question

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis is not rejected, even though it is false. In this scenario, a Type II error would occur if the student says that the person is a business student (null hypothesis), when in fact the person is a science student (alternative hypothesis). This error would occur if the student wrongly identifies the person due to the 16% chance of incorrectly identifying someone studying science as a business student.

Instruction 9-1 a Student Claims That She Can Correctly Identify Whether a Whether