A paper demonstrated the application of Bayes's Rule for making inferences about testosterone abuse among athletes. In a population of 1000 athletes, suppose 150 are illegally using testosterone. Of the users, suppose 75 would test positive for testosterone. Of the nonusers, suppose 17 would test positive. a. Given that the athlete is a user, find the probability that a drug test for testosterone will yield a positive result. (This probability represents the sensitivity of the drug test.) (Simplify your answer.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
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A paper demonstrated the application of Bayes's Rule for making inferences about testosterone abuse among athletes.
In a population of 1000 athletes, suppose 150 are illegally using testosterone. Of the users, suppose 75 would test
positive for testosterone. Of the nonusers, suppose 17 would test positive.
a. Given that the athlete is a user, find the probability that a drug test for testosterone will yield a positive result. (This
probability represents the sensitivity of the drug test.)
(Simplify your answer.)
Transcribed Image Text:A paper demonstrated the application of Bayes's Rule for making inferences about testosterone abuse among athletes. In a population of 1000 athletes, suppose 150 are illegally using testosterone. Of the users, suppose 75 would test positive for testosterone. Of the nonusers, suppose 17 would test positive. a. Given that the athlete is a user, find the probability that a drug test for testosterone will yield a positive result. (This probability represents the sensitivity of the drug test.) (Simplify your answer.)
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