Suppose a disease has an incidence of one percent in the population. The test used to detect

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Suppose a disease has an incidence of one percent in the population. The test used to detect this disease has a five percent Type I error rate; there is no Type II error rate. A physician sees test results from a patient indicating that the patient has the disease; the probability that the patient actually has that disease is 0.01/0.0595, or about 17 percent. Explain this result.

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