Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensitivity) and a 94% chance of correctly indicating that the disease is absent if the person really does not have the disease (i.e.,94% specificity).Suppose 10% of the population has the disease. (a) What is the probability that a randomly chosen person will test positive? (b) Suppose that a randomly chosen person does test positive. What is the probability that this person really has the disease?
Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensitivity) and a 94% chance of correctly indicating that the disease is absent if the person really does not have the disease (i.e.,94% specificity).Suppose 10% of the population has the disease. (a) What is the probability that a randomly chosen person will test positive? (b) Suppose that a randomly chosen person does test positive. What is the probability that this person really has the disease?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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3.2.7 Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensitivity) and a 94% chance of correctly indicating that the disease is absent if the person really does not have the disease (i.e.,94% specificity).Suppose 10% of the population has the disease.
(a) What is the probability that a randomly chosen person will test positive? (b) Suppose that a randomly chosen person does test positive. What is the probability that this person really has the disease?
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