In Canada, the Supreme Court recently ruled that employees can be tested for drugs only if management has reasonable cau
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In Canada, the Supreme Court recently ruled that employees can be tested for drugs only if management has reasonable cau
In Canada, the Supreme Court recently ruled that employees can be tested for drugs only if management has reasonable cause to administer the test. A false positive occurs when a drug test administered to a non-drug user yields a positive result. A false negative occurs when a drug test administered to a drug user yields a negative result. (a) Suppose that 5% of a population of workers consists of drug users. The drug test has a false positive rate (i.e., the probability of a positive drug test given the worker is a non-drug user) of 5% and a false negative rate (i.e., the probability of a negative drug test given the worker is a drug user) of 5%. A worker selected from this population is drug tested and found to have a positive result. Using Bayes theorem, calculate the probability that the worker is a non-drug user? (10) (b) Now suppose that 95% of a population of workers consists of drug users. Again, assume that the false positive rate and false negative rate of the drug test are 5%. A worker selected from this population is drug tested and found to have a positive result. Using Bayes theorem, calculate the probability that the worker is a non-drug user? 0
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