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Enzyme immunoassay (EIA) tests are used to screen blood specimens for the presence of antibodies to HIV, the virus that causes AIDS. Antibodies indicate the

Enzyme immunoassay (EIA) tests are used to screen blood specimens for the presence of antibodies to HIV, the virus that causes AIDS. Antibodies indicate the presence of the virus. The test is quite accurate and gives a positive result 99.9% of the time for people who have the antibodies. It gives a negative result 99.4% of the time for people who do not have the antibodies. In a large population about 1% carry the antibodies to HIV in their blood. What is the probability that a person gets a positive test result and has antibodies

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