The following table shows the results of a medical test. Positive Test Result Negative Test Result 95.3 4.6 Total 82.6 % 4.6 X % Has Disease 491 % 24 515 x% Does Not Have Disease 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 has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. 45 214 259 b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. Total 536 238 c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test. 774 d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Suppose a test for a disease has a sensitivity of 84% and a specificity of 79%. Further suppose that in a certain country with a population of 60,000, 20% of the population has the disease.
Fill in the accompanying table.
Positive Test Result
Negative Test Result
Total
Has Disease
150000
X
Does Not Have Disease
Total
Transcribed Image Text:Suppose a test for a disease has a sensitivity of 84% and a specificity of 79%. Further suppose that in a certain country with a population of 60,000, 20% of the population has the disease. Fill in the accompanying table. Positive Test Result Negative Test Result Total Has Disease 150000 X Does Not Have Disease Total
The following table shows the results of a medical test.
Positive Test Result
Negative Test Result
95.3
4.6
Total
82.6
%
4.6
Has Disease
X %
491
24
%
515
Does Not Have Disease
45
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 has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test.
214
259
Total
b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate.
536
238
774
c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test.
d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate.
X %
Transcribed Image Text:The following table shows the results of a medical test. Positive Test Result Negative Test Result 95.3 4.6 Total 82.6 % 4.6 Has Disease X % 491 24 % 515 Does Not Have Disease 45 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 has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. 214 259 Total b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. 536 238 774 c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test. d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate. X %
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