HIV testing Enzyme immunoassay (EIA) tests are used to screen blood specimens for the pres- ence 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. Here are approximate probabilities of positive and negative EIA outcomes when the blood tested does and does not actually contain antibodies to HIV:21 Test Result Truth Antibodies present 0.9985 0.0015 Antibodies absent 0.006 0.994 Suppose that 1% of a large population carries anti- bodies to HIV in their blood. We choose a person from this population at random. Given that the EIA test is positive, find the probability that the person has the antibody. Show Your work.

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81. HIV testing Enzyme immunoassay (EIA) tests
are used to screen blood specimens for the pres-
ence 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. Here are approximate probabilities of
positive and negative EIA outcomes when the
blood tested does and does not actually contain
antibodies to HIV:21
g325
Test Result
Truth
Antibodies present
0.9985
0.0015
Antibodies absent
0.006
0.994
Suppose that 1% of a large population carries anti-
bodies to HIV in their blood. We choose a person
from this population at random. Given that the EIA
test is positive, find the probability that the person
has the antibody. Show your work.
Transcribed Image Text:81. HIV testing Enzyme immunoassay (EIA) tests are used to screen blood specimens for the pres- ence 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. Here are approximate probabilities of positive and negative EIA outcomes when the blood tested does and does not actually contain antibodies to HIV:21 g325 Test Result Truth Antibodies present 0.9985 0.0015 Antibodies absent 0.006 0.994 Suppose that 1% of a large population carries anti- bodies to HIV in their blood. We choose a person from this population at random. Given that the EIA test is positive, find the probability that the person has the antibody. Show your work.
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