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:2' pg 325 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
pg 325
pres-
ence of antibodies to HIV, the virus that causes
of the
AIDS. Antibodies indicate the
presence
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
has the antibody. Show
person
your work.
Transcribed Image Text:81. HIV testing Enzyme immunoassay (EIA) tests are used to screen blood specimens for the pg 325 pres- ence of antibodies to HIV, the virus that causes of the AIDS. Antibodies indicate the presence 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 has the antibody. Show person your work.
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