The following table shows the results of a medical test. Positive Test Result Negative Test Result 7.6 Total 86.2 Has Disease % 531 32 563 Does Not Have Disease 50 200 250 Total 581 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. What is the sensitivity of the test? Sensitivity is also known as the true positive rate of a test. In other words, what is the probability that a person tests positive given that they have the disease? X% b. What is the specificity of the test? Specificity is also known as the true negative rate of a test. In other words, what is the probability that a person tests negative given that they do not have the disease? x % c. What is the PPV (positive predictive value) of the test? In other words, what is the probability that a person has the disease given that they test positive? 232 813
The following table shows the results of a medical test. Positive Test Result Negative Test Result 7.6 Total 86.2 Has Disease % 531 32 563 Does Not Have Disease 50 200 250 Total 581 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. What is the sensitivity of the test? Sensitivity is also known as the true positive rate of a test. In other words, what is the probability that a person tests positive given that they have the disease? X% b. What is the specificity of the test? Specificity is also known as the true negative rate of a test. In other words, what is the probability that a person tests negative given that they do not have the disease? x % c. What is the PPV (positive predictive value) of the test? In other words, what is the probability that a person has the disease given that they test positive? 232 813
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
7.6
Total
86.2
X %
X %
Has Disease
531
%
32
563
%
Does Not Have Disease
50
200
Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.)
a. What is the sensitivity of the test? Sensitivity is also known as the true positive rate of a test. In other words, what is the probability that a person tests positive given that they have the disease?
250
Total
581
b. What is the specificity of the test? Specificity is also known as the true negative rate of a test. In other words, what is the probability that a person tests negative given that they do not have the disease?
232
813
c. What is the PPV (positive predictive value) of the test? In other words, what is the probability that a person has the disease given that they test positive?
d. What is the NPV (negative predictive value) of the test? In other words, what is the probability that a person does not have the disease given that they test negative?
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