TABLE 9-2 a Student Claims That He Can Correctly Identify Whether a Whether

question 90

Multiple Choice

TABLE 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 Table 9-2, what would be a Type II error?

• A) Saying that the person is a business major when in fact the person is a business major
• B) Saying that the person is a business major when in fact the person is an agriculture major
• C) Saying that the person is an agriculture major when in fact the person is a business major
• D) Saying that the person is an agriculture major when in fact the person is an agriculture major

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Definitions:

Median

The middle value in a sorted list of numbers, dividing the dataset into two halves.

Third Quartile

A statistical term which represents the 75th percentile of a dataset, indicating that 75% of the data points fall below this value.

Box Plot

A graphical representation of data that shows the distribution's five-number summary: minimum, first quartile, median, third quartile, and maximum.

Interquartile Range

The measure of variability in a dataset, represented by the difference between the 75th (upper quartile) and 25th (lower quartile) percentiles.