Suppose a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people. Suppose the population comes from the blood donor pool that has already been screened. In this population, 0.1% of the population is actually infected with HIV.     Used drugs Did not use drugs Total Tested Positive       Tested Negative       Total           Complete the table above Calculate the PPV Calculate the NPV How many people will test positive who are, in fact, disease-free?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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  1. Suppose a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people. Suppose the population comes from the blood donor pool that has already been screened. In this population, 0.1% of the population is actually infected with HIV.

 

 

Used drugs

Did not use drugs

Total

Tested Positive

 

 

 

Tested Negative

 

 

 

Total

 

 

 

 

 

Complete the table above

Calculate the PPV

Calculate the NPV

How many people will test positive who are, in fact, disease-free?

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