a. How many athletes are using PEDS? b. How many of these received a positive test result? c. If an athlete is using PEDS, which of the following describes the chance that this test will return a positive result? There may be more than one correct answer. O 90% chance of receiving a positive test result if one is using PEDS. O 9% chance of receiving a positive test result if one is using PEDS. O 90 out of 100 chance of receiving a positive test result if one is using PEDS. ound arest tenth of the percent

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A test is administered to 500 athletes to determine if they are using performance-enhancing drugs (PEDS). A
positive test result indicates that the athlete is using performance-enhancing drugs; a negative test 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 test results for a group of athletes.
Athletes using PEDS
Athletes not using PEDS
Total
Positive test result
90
4
94
Negative test result
10
396
406
Total
100
400
500
Use the information in the table to answer the following questions.
a. How many athletes are using PEDS?
b. How many of these received a positive test result?
c. If an athlete is using PEDS, which of the following describes the chance that this test will return a positive
result? There may be more than one correct answer.
O 90% chance of receiving a positive test result if one is using PEDS.
O 9% chance of receiving a positive test result if one is using PEDS.
O 90 out of 100 chance of receiving a positive test result if one is using PEDS.
d. What is the chance that a positive test result is a false positive? Round to the nearest tenth of the percent.
e. If an athlete is not using PEDS, what is the chance that this test will return a negative result? There may be
more than one correct answer.
O 4 out of 400 chance of receiving a negative test result if one is not using PEDS.
O 39.6% chance of receiving a negative test result if one is not using PEDS.
O 99% chance of receiving a negative test result if one is not using PEDS.
f. What is the chance that a negative test result is a false negative? Round to the nearest tenth of a percent.
Transcribed Image Text:A test is administered to 500 athletes to determine if they are using performance-enhancing drugs (PEDS). A positive test result indicates that the athlete is using performance-enhancing drugs; a negative test 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 test results for a group of athletes. Athletes using PEDS Athletes not using PEDS Total Positive test result 90 4 94 Negative test result 10 396 406 Total 100 400 500 Use the information in the table to answer the following questions. a. How many athletes are using PEDS? b. How many of these received a positive test result? c. If an athlete is using PEDS, which of the following describes the chance that this test will return a positive result? There may be more than one correct answer. O 90% chance of receiving a positive test result if one is using PEDS. O 9% chance of receiving a positive test result if one is using PEDS. O 90 out of 100 chance of receiving a positive test result if one is using PEDS. d. What is the chance that a positive test result is a false positive? Round to the nearest tenth of the percent. e. If an athlete is not using PEDS, what is the chance that this test will return a negative result? There may be more than one correct answer. O 4 out of 400 chance of receiving a negative test result if one is not using PEDS. O 39.6% chance of receiving a negative test result if one is not using PEDS. O 99% chance of receiving a negative test result if one is not using PEDS. f. What is the chance that a negative test result is a false negative? Round to the nearest tenth of a percent.
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