A Professional Sports Organization Is Going to Implement a Test

question 75

Multiple Choice

A professional sports organization is going to implement a test for steroids. The test gives a positive reaction in 94% of the people who have taken the steroid. However, it erroneously gives a positive reaction in 4% of the people who have not taken the steroid. What is the probability of Type I and Type II errors giving the null hypothesis "the individual has not taken steroids."

• A) Type I: 4%, Type II: 6%
• B) Type I: 6%, Type II: 4%
• C) Type I: 94%, Type II: 4%
• D) Type I: 4%, Type II: 94%

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Definitions:

Uniformly Distributed

A description of a distribution where all outcomes are equally likely, the probability distribution is constant.

Probability

The quantification of the chance that an event will happen, expressed as a number ranging from 0 to 1.

Random Variable

A Random Variable is a variable whose possible values are numerical outcomes of a random phenomenon.

Normal Curve

A symmetrical, bell-shaped distribution where most occurrences take place around the mean and probabilities for values taper off as they move away from the mean.