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A medical research team wishes to assess the usefulness of a certain symptom (glabrous hypersensitivity, S) in the diagnosis of parasitic infection in order to

A medical research team wishes to assess the usefulness of a certain symptom (glabrous hypersensitivity, S) in the diagnosis of parasitic infection in order to provide a low-cost test for infection in rural areas across Africa and South America. In a random sample of 775 patients with an infection, 744 reported having the symptom. In an independent sample of 1200 subjects without the disease, 24 reported positive for S. If it is known that the rate of the disease in the general population is 1 out of every 1000 individuals in these populations, what is the probability that one has the disease if they test positive for the symptom?

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