The following table shows the results of a medical test. Positive Test Result Negative Test Result Total % Has Disease % 491 24 % 515 Does Not Have Disease 45 214 259 Total 536 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. 238 774 b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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The following table shows the results of a medical test.
Positive Test Result
Negative Test Result
Total
%
%
Has Disease
491
%
24
515
%
Does Not Have Disease
45
214
259
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 has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test.
536
238
b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate.
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.
Transcribed Image Text:The following table shows the results of a medical test. Positive Test Result Negative Test Result Total % % Has Disease 491 % 24 515 % Does Not Have Disease 45 214 259 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 has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. 536 238 b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. 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.
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