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

question 177

Multiple Choice

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 $\beta$ ?

• A)0.13
• B)0.16
• C)0.84
• D)0.87

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Definitions:

Three-Fifths Compromise

A constitutional agreement reached during the 1787 United States Constitutional Convention, allowing three-fifths of the slave population to be counted for determining direct taxation and representation in the House of Representatives.

Southern Planters

Southern Planters were wealthy farmers in the southern United States who owned large estates and relied extensively on enslaved labor for agricultural production before the Civil War.

New Jersey Plan

A proposal at the Constitutional Convention of 1787 advocating for equal representation of each state in Congress, regardless of the state's population size.

Less Populous

Refers to areas, regions, or groups having a smaller population in comparison to others.