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...

#1 (please help with iv)

Extracted 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.