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

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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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