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The first test a doctor would order to determine whether a person is infected With HIV (the L uses AIDS) is the ELISA test. It detects antibodies and ntigens for HIV. A study in Statistical S Gastwirth estimated that, if the person is actually infected with HIV, this test produces a posi .7% of the time. If a person is not infected with HIV the test result is negative 92.6% of the t Ecording the US Centers for Disease Control (CDC) 0.34% of Americans were infected with HI - What is the probability that a randomly selected person tests positive for the ELISA test? hoco ELISA test is positive actual

The first test a doctor would order to determine whether a person is infected With HIV (the L uses AIDS) is the ELISA test. It detects antibodies and ntigens for HIV. A study in Statistical S Gastwirth estimated that, if the person is actually infected with HIV, this test produces a posi .7% of the time. If a person is not infected with HIV the test result is negative 92.6% of the t Ecording the US Centers for Disease Control (CDC) 0.34% of Americans were infected with HI - What is the probability that a randomly selected person tests positive for the ELISA test? hoco ELISA test is positive actual

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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causes AIDS) is the ELISA test. It detects antibodies and antigens for HIV. A study in Statistical Science by 1. The first test a doctor would order to determine whether a person is infected with HIV (the virus that J. Gastwirth estimated that, if the person is actually infected with HIV, this test produces a positive result 97.7% of the time. If a person is not infected with HIV the test result is negative 92.6% of the time. According the US Centers for Disease Control (CDC) 0 34% of Americans were infected with HIV in 2015. (1). What is the probability that a randomly selected person tests positive for the ELISA test? (11). What is the probability that a randomly selected person whose ELISA test is positive actually is infected with HIV? (1). Are events {a person tests positive for the ELISA test} and {a person is infected with HIV} independent? Explain. (iv). Is the ELISA test effective in detecting who is infected with HIV? Is it effective in detecting who is not infected with HIV? Explain.
Transcribed Image Text:causes AIDS) is the ELISA test. It detects antibodies and antigens for HIV. A study in Statistical Science by 1. The first test a doctor would order to determine whether a person is infected with HIV (the virus that J. Gastwirth estimated that, if the person is actually infected with HIV, this test produces a positive result 97.7% of the time. If a person is not infected with HIV the test result is negative 92.6% of the time. According the US Centers for Disease Control (CDC) 0 34% of Americans were infected with HIV in 2015. (1). What is the probability that a randomly selected person tests positive for the ELISA test? (11). What is the probability that a randomly selected person whose ELISA test is positive actually is infected with HIV? (1). Are events {a person tests positive for the ELISA test} and {a person is infected with HIV} independent? Explain. (iv). Is the ELISA test effective in detecting who is infected with HIV? Is it effective in detecting who is not infected with HIV? Explain.
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