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

question 135

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 is the "actual confidence coefficient"?

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

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Definitions:

Effect Size

A quantitative measure of the strength of a phenomenon, used to indicate the magnitude of a difference or relationship within the context of a statistical analysis.

T-Tests

Statistical tests used to compare the means of two groups to see if there is a significant difference between them.

Type I Error

A Type I Error occurs when a true null hypothesis is incorrectly rejected, also known as a "false positive."

Statistical Power

Statistical power refers to the probability that a statistical test will correctly reject a false null hypothesis, effectively detecting an effect when there is one.