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?

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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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