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A drug testing company advertises a test for steroids that is 94.5% effective at detecting...

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A drug testing company advertises a test for steroids that is 94.5% effective at detecting steroid use. It has a true negative effectiveness of 94%. Suppose 12% of 10,000 professional cyclists are believed to be using steroids. Suppose a cyclist tests negative for steroid use. What is the probability that he's using steroids? (Round your probability to the nearest hundredth of a percent!)

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