Question: Please help me with the following problem. Officials administer a drug test to 500 athletes to determine if they are using performance-enhancing drugs (PEDs). A

Please help me with the following problem.

Officials administer a drug test to 500 athletes to determine if they are using performance-enhancing drugs (PEDs). A positive result indicates that the athlete is using performanceenhancing drugs; a negative result indicates that the athlete is not using these drugs. However, this test is not 100% accurate, so some errors occur. The following table shows the results for a group of athletes.

Athlete PED Use

Athletes using PEDs Athletes not using PEDs Total

Positive Test Result 87 5 92

Negative Test Result 15 393 408

Total 102 398 500

9. What is the chance that a positive result is a false positive? (Enter answer as a percent. Round to the nearest tenth as needed)

10.Imagine yourself as an official interpreting the results of the test. What actions might you take against an athlete who receives a positive result?

11. An athlete is not using PEDs. What is the chance that his or her test will return a negative result?

12. What is the chance that a negative test result is a false negative? (Enter answer as a percent. Round to the nearest tenth as needed)

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