Testing for HIV. Enzyme immunoassay tests are used to screen blood specimensfor the
Chapter 0, Problem 12.14(choose chapter or problem)
Testing for HIV. Enzyme immunoassay tests are used to screen blood specimensfor the presence of antibodies to HIV, the virus that causes AIDS. Antibodiesindicate the presence of the virus. The test is quite accurate but is not alwayscorrect. Here are approximate probabilities of positive and negative test resultswhen the blood tested does and does not actually contain antibodies to HIV:5Test Result+ Antibodies present 0.9985 0.0015Antibodies absent 0.0060 0.9940Suppose that 1% of a large population carries antibodies to HIV in their blood.(a) Draw a tree diagram for selecting a person from this population (outcomes:antibodies present or absent) and for testing his or her blood (outcomes: testpositive or negative).(b) What is the probability that the test is positive for a randomly chosen personfrom this population?
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