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%

Question

Quizplus · Accepted Answer

Type I error is the probability of rejecting the null hypothesis when it is true, which corresponds to the false positive rate of 4%. Type II error is the probability of failing to reject the null hypothesis when it is false, which is 100% - 94% = 6%.

A Professional Sports Organization Is Going to Implement a Test