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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
#1 (please help with iv)

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman