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The DoubleCheckGoldTM HIV 1&2 test has a sensitivity of 99.9% and a specificity of 99.6%. Suppose...

The DoubleCheckGoldTM HIV 1&2 test has a sensitivity of 99.9% and a specificity of 99.6%. Suppose that a particular high-risk population has an HIV prevalence of 10%.

a. Suppose that a member of this high-risk population is known to be HIV positive. What is the probability that this person will produce a false negative result using this test? Report the result to the nearest tenth of a percent.

b. Compute and interpret the positive predictive value for this test when it is given to someone in this high-risk population. Report the result to the nearest tenth of a percent.

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