Question

let’s say that we work for the international olympic committee (ioc) as part of their fight ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: Let’s say that we work for the International Olympic Committee (IOC) as part of their Fight Again... Let’s say that we work for the International Olympic Committee (IOC) as part of their Fight Against Doping. We have a drug test for a banned performance-enhancing drug (PED) that is 99.3% accurate at identifying the presence of the PED in an athlete’s system. However, it is only 73% accurate at identifying the absence of PED in the athlete’s system. From a scientific study we also have a strong a priori reason to believe that only 3% of Olympic athletes use this particular PED. Use this information, along with Bayes’ Theorem, to answer the following questions:

3. Our information that only 3% of Olympic athletes use the PED came from a study of 300 athletes. This year we tested 500 athletes and confirmed that 11 of them used the banned substance. In both cases, only a sample of all athletes to complete in the Olympics were tested for the PED. As a result there is some uncertainty, so we decide we would like to express what we have learned as a beta distribution. In two years when we being testing athletes again, what is our updated prior distribution for the percentage of Olympic athletes using the PED?

Answer 1