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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.

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.

A First Course in Probability (10th Edition)
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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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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