Concept explainers
Performance Enhancement. Suppose that a test for performance-enhancing drugs is 90% accurate (it will correctly detect 90% of people who use such drugs and it will correctly detect 90% of people who do not). Suppose that, 2% of the 2000 athletes in a major meet have actually taken performance enhancing drugs, and all athletes arc given the drug test.
a. Verify that the entries in the table below agree with the information given. Explain each entry.
Users | Non-users | Total | |
Test finds drug use | 36 | 196 | 232 |
Test finds no drug use | 4 | 1764 | 1768 |
Total | 40 | 1960 | 2000 |
b. How many athletes in total were accused of using performance-enhancing drugs? Of these, how many were using and how many were not? What percentage of those accused of Using were falsely accused?
c. How many athletes in total are cleared of using performance-enhancing drugs? Of these, how many were actually using the drugs? What percentage does this represent of those cleared?
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Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)