A tine test is commonly used to determine whether a person has been exposed to tuberculosis. Approximately 3% of people in the United States have been exposed to tuberculosis. When the tine test is administered, 97% of people who have been exposed test positive, and 93% of those not exposed test negative. Suppose a person is randomly selected and given the tine test. Suppose the test is negative. What is the probability that the person actually has been exposed to tuberculosis?

A tine test is commonly used to determine whether a person has been exposed to tuberculosis. Approximately 3% of people in the United States have been exposed to tuberculosis. When the tine test is administered, 97% of people who have been exposed test positive, and 93% of those not exposed test negative. Suppose a person is randomly selected and given the tine test. Suppose the test is negative. What is the probability that the person actually has been exposed to tuberculosis?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

A tine test is commonly used to determine whether a person has been exposed to
tuberculosis. Approximately 3% of people in the United States have been exposed to
tuberculosis. When the tine test is administered, 97% of people who have been exposed test
positive, and 93% of those not exposed test negative. Suppose a person is randomly selected
and given the tine test.
Suppose the test is negative. What is the probability that the person actually has been
exposed to tuberculosis?

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