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

question 71

Multiple Choice

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 is the "actual level of significance" of the test?

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

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Definitions:

Z

Often refers to a Z-score in statistics, representing the number of standard deviations a data point is from the mean.

Continuous Random Variables

Variables that can take on numerous values within a defined range.

Examples

Examples are specific instances or items that are representative of a general case or category, often used to illustrate a point or explain a concept.

Normally Distributed

A distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.