Enzyme immunoassay 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 but is not always correct. Approximate probabilities of positive and negative test results when the blood tested does and does not actually contain antibodies to HIV are given in the table.   Test Result   Positive Negative Antibodies present 0.9985 0.0015 Antibodies absent 0.0060 0.9940 Suppose that 1%1% of a large population carries antibodies to HIV in their blood. Probabilities from trials with 2897 people known to be free of HIV antibodies and 673 people known to be infected, reported

Human Anatomy & Physiology (11th Edition)
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Enzyme immunoassay 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 but is not always correct. Approximate probabilities of positive and negative test results when the blood tested does and does not actually contain antibodies to HIV are given in the table.

  Test Result
  Positive Negative
Antibodies present 0.9985 0.0015
Antibodies absent 0.0060 0.9940

Suppose that 1%1% of a large population carries antibodies to HIV in their blood.

Probabilities from trials with 2897 people known to be free of HIV antibodies and 673 people known to be infected, reported in J. Richard George, "Alternative specimen sources: methods for confirming positives," 1998 Conference on the Laboratory Science of HIV, found online at the Centers for Disease Control and Prevention, www.cdc.gov.
 
 

(b) What is the probability that the test is positive for a randomly chosen person from this population? Give your answer to six decimal places.

?(positive)=
 
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