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A certain virus affects 0.6% of the population. A test used to detect the virus in a person is positive 85% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Positive Test Negative Test Total 600 99,400 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. Total P(Infected | Positive Test)= b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = % %

A certain virus affects 0.6% of the population. A test used to detect the virus in a person is positive 85% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Positive Test Negative Test Total 600 99,400 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. Total P(Infected | Positive Test)= b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = % %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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A certain virus affects 0.6% of the population. A test used to detect the virus in a person is positive 85% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Positive Test Negative Test Total Total 600 99,400 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = %
Transcribed Image Text:A certain virus affects 0.6% of the population. A test used to detect the virus in a person is positive 85% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Positive Test Negative Test Total Total 600 99,400 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = %
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