A medical research team wishes to assess the usefulness of a certain symptom (gl

Question

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 random sample of 775 patient with an infection,774 reported having the symphony, In a independent sample of 1380 subjects without the disease , 21 reported positive for S,It is known that the disease in the general population is 1 out of every 1000 individuals in these population, what is the probability that one has the disease if they test positive for the symptom?

Explanation / Answer

what is the probability that one has the disease if they test positive for the symptom? P( disease / test positive)

we have random sample of 775 patient with an infection,774 reported having the symphony, In a independent sample of 1380 subjects without the disease , 21 reported positive for S,It is known that the disease in the general population is 1 out of every 1000 individuals in these population,

P( test positive) = 21 / 1380 = 0.015

P( disease) = 1 / 1000 = 0.001

P( symphony ) = 774 / 775 = 0.9987

P( disase / postive) = 0.9987 * 0.001 / 0.015 = 0.06658

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