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A medical research team wishes to assess the usefulness of a certain symptom in the diagnosis of a particular disease. In a random sample of 775 patients with the disease, 744 reported having the symptom. In an independent random sample of 1380 subjects without the disease, 21 reported that they had the symptom. Find the predictive value positive and the predictive value negative for the syptom for the following hypothetical disease rates: 0.0001, 0.01, and 0.1

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    Hint: use Bayes' theorem. http://en.wikipedia.org/wiki/Bayes%27_theorem2011-09-12

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