Suppose that a test for performance-enhancing drugs is 85% accurate (It will correctly detect 85% of people who use such drugs and will correctly detect 85% who do not). Suppose that, 8% of the 1000 athletes in a major meet have actually taken performance-enhancing drugs, and all athletes are given the drug test. Complete parts (a) through (c) below. Test finds drug use Test finds no drug use Total Users Non-Users 138 782 920 68 12 80 Total 206 794 1000 a. Verify that the entries in the table above agree with the information given. Explain each entry. The table shows a total of athletes tested. The total number of athletes using performance-enhancing drugs is, which is correctly detected athletes not using, which is % of the total athletes not using. Therefore, the table (Type whole numbers.) % of the total athletes tested. The test correctly detected athletes using, which is % of the total athletes using. The test with the information given.

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## Performance-Enhancing Drug Test Accuracy

### Problem Statement
Suppose that a test for performance-enhancing drugs is 85% accurate (It will correctly detect 85% of people who use such drugs and will correctly detect 85% who do not). Suppose that 8% of the 1000 athletes in a major meet have actually taken performance-enhancing drugs, and all athletes are given the drug test. Complete parts (a) through (c) below.

### Data Table

|                             | Users | Non-Users | Total |
|-----------------------------|-------|-----------|-------|
| Test finds drug use         | 68    | 138       | 206   |
| Test finds no drug use      | 12    | 782       | 794   |
| Total                       | 80    | 920       | 1000  |

### Questions

#### a. Verify that the entries in the table above agree with the information given. Explain each entry.

The table shows a total of __ athletes tested. The total number of athletes using performance-enhancing drugs is __, which is __% of the total athletes tested. The test correctly detected __ athletes using, which is __% of the total athletes using. The test correctly detected __ athletes not using, which is __% of the total athletes not using. Therefore, the table __ with the information given.

(***Type whole numbers.***)
Transcribed Image Text:## Performance-Enhancing Drug Test Accuracy ### Problem Statement Suppose that a test for performance-enhancing drugs is 85% accurate (It will correctly detect 85% of people who use such drugs and will correctly detect 85% who do not). Suppose that 8% of the 1000 athletes in a major meet have actually taken performance-enhancing drugs, and all athletes are given the drug test. Complete parts (a) through (c) below. ### Data Table | | Users | Non-Users | Total | |-----------------------------|-------|-----------|-------| | Test finds drug use | 68 | 138 | 206 | | Test finds no drug use | 12 | 782 | 794 | | Total | 80 | 920 | 1000 | ### Questions #### a. Verify that the entries in the table above agree with the information given. Explain each entry. The table shows a total of __ athletes tested. The total number of athletes using performance-enhancing drugs is __, which is __% of the total athletes tested. The test correctly detected __ athletes using, which is __% of the total athletes using. The test correctly detected __ athletes not using, which is __% of the total athletes not using. Therefore, the table __ with the information given. (***Type whole numbers.***)
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