Suppose the Probability of an Athlete Taking a Certain Illegal

question 34

Multiple Choice

Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid?

• A) 0.9928
• B) 0.9325
• C) 0.9552
• D) 0.0995

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Definitions:

Practical Intelligence

An aspect of intelligence related to the application of knowledge and skills in solving everyday problems and achieving goals.

Cultural Differences

Variations in the practices, customs, and social norms among different societies and ethnic groups.

IQ

Short for Intelligence Quotient, a measure of a person's cognitive abilities in relation to their age group.

Sociohistorical Context

Refers to the combination of social and historical factors that influence and shape behaviors, events, and perceptions.