The US Anti-Doping Agency is considering using a new saliva test for detecting the use of performance enhancing drugs (PEDs) in athletes (currently tested using urine or blood samples). The USADA estimates that about 2% of athletes are using PEDs. The saliva test is 98% accurate in detecting drug use but has a 3% false positive rate. What is the probability that a person that has positive test is actually using PEDs?

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The US Anti-Doping Agency is considering using a new saliva test for detecting the use of
performance enhancing drugs (PEDs) in athletes (currently tested using urine or blood samples).
The USADA estimates that about 2% of athletes are using PEDs. The saliva test is 98% accurate in
detecting drug use but has a 3% false positive rate. What is the probability that a person that has
positive test is actually using PEDs?
Transcribed Image Text:The US Anti-Doping Agency is considering using a new saliva test for detecting the use of performance enhancing drugs (PEDs) in athletes (currently tested using urine or blood samples). The USADA estimates that about 2% of athletes are using PEDs. The saliva test is 98% accurate in detecting drug use but has a 3% false positive rate. What is the probability that a person that has positive test is actually using PEDs?
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