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5. Suppose that a drug test for opiates is 93% effective-it will give a positive result for 93% of subjects who have used those drugs

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5. Suppose that a drug test for opiates is 93% effective-it will give a positive result for 93% of subjects who have used those drugs in the last month. But suppose the test also has a 5% false positive rate-that percentage of subjects who have not used opiates will still test positive. Suppose that 6% of the population being tested have in fact used opiates in the last month. If a subject tests positive, what is the probability that he or she has used opiates

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