There was-a study done to test using a fever of 38 degrees Celsius or higher as an indicator of postoperative collapse of the lung. The results are shown below. Collapsed Lung Healthy Lung High Fever 72 37 109 Normal Fever 82 79 161 154 116 270 a) Find the sensitivity of the test, i.e. find the probability of a high fever given the lung has collapsed. b) Find the probability of a false-negative, i.e. find the probability of no fever given the lung has collapsed. c) Find the specificity of the test, i.e. find the probability of no fever given the lung is normal.

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A:

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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.