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Enzyme-linked immunosorbent assay (EISA)is the most common type of screening test for detecting HIV virus. A positive result from an ELISA indicates that HIV virus is present. For most populations, ELISA has a high degree of sensitivity (to detect infection)and specificity (to detect noninfection). Suppose the probability that person is infected with the HIV virus for certain population is 0.015. If HIV virus is actually present, the probability that ELIA test will give a positive result from ELISA is .01. If ELISA has given a positive result, use the Bayes' theorem to find the probability that the HIV virus is actually present.

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