The following table shows the results of a medical test. Positive Test Result Negative Test Result Total % % Has Disease 165 % 13 178 % Does Not Have Disease 28 97 125 Total Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person tests positive, what is the probability that person has the disease? This is sometimes called the PPV (positive predictive value). 193 110 b. If a person tests positive, what is the probability that person does not have the disease? This is sometimes called the false discovery rate. 303 c. If the person tests negative, what is the probability that person does not have the disease? This is sometimes called the NPV (negative predictive value). d. If the person tests negative, what is the probability that person has the disease? This is sometimes called the false omission rate.
The following table shows the results of a medical test. Positive Test Result Negative Test Result Total % % Has Disease 165 % 13 178 % Does Not Have Disease 28 97 125 Total Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person tests positive, what is the probability that person has the disease? This is sometimes called the PPV (positive predictive value). 193 110 b. If a person tests positive, what is the probability that person does not have the disease? This is sometimes called the false discovery rate. 303 c. If the person tests negative, what is the probability that person does not have the disease? This is sometimes called the NPV (negative predictive value). d. If the person tests negative, what is the probability that person has the disease? This is sometimes called the false omission rate.
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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Transcribed Image Text:The following table shows the results of a medical test.
Positive Test Result
Negative Test Result
Total
%
Has Disease
%
165
13
%
178
Does Not Have Disease
%
28
97
125
Total
Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.)
193
a. If a person tests positive, what is the probability that person has the disease? This is sometimes called the PPV (positive predictive value).
110
303
b. If a person tests positive, what is the probability that person does not have the disease? This is sometimes called the false discovery rate.
c. If the person tests negative, what is the probability that person does not have the disease? This is sometimes called the NPV (negative predictive value).
d. If the person tests negative, what is the probability that person has the disease? This is sometimes called the false omission rate.
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