Instruction 9-2 a Student Claims That She Can Correctly Identify Whether a Whether

question 107

Multiple Choice

Instruction 9-2
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 9-2,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:

Standard Error

The standard deviation of the sampling distribution of a statistic, particularly mean, indicating the variability of an estimate from sample to sample.

Positively Skewed

A description of a distribution of data in which the tail on the right side of the histogram is longer than the left side, indicating that most values are clustered on the left.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, used to estimate the population parameter.

Normal Populations

Populations that follow a normal distribution, where the majority of data points are concentrated around the mean value.