1. Suppose that in It 'ted that a rap gnosti test yielded a false negative value (sensitivity of the test) of 12% (that is, 88% of tests on people with th COVID-19 virus correctly detect it) and a false positive value (specificity of the test) of 2% (that is, 98% of the tests on people without COVID-19 correctly conclude that the person is COVID-19 free). Assum that 16% of the population has COVID-19. If a randomly chosen person is tested and their result show a positive test, what is the probability that they have COVID-19?

MATLAB: An Introduction with Applications
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1. Suppose that in a study on a certain population, it is reported that a rapid molecular COVID-19 diagnostic
test yielded a false negative value (sensitivity of the test) of 12% (that is, 88% of tests on people with the
COVID-19 virus correctly detect it) and a false positive value (specificity of the test) of 2% (that is, 98%
of the tests on people without COVID-19 correctly conclude that the person is COVID-19 free). Assume
that 16% of the population has COVID-19. If a randomly chosen person is tested and their result shows
a positive test, what is the probability that they have COVID-19?
Transcribed Image Text:1. Suppose that in a study on a certain population, it is reported that a rapid molecular COVID-19 diagnostic test yielded a false negative value (sensitivity of the test) of 12% (that is, 88% of tests on people with the COVID-19 virus correctly detect it) and a false positive value (specificity of the test) of 2% (that is, 98% of the tests on people without COVID-19 correctly conclude that the person is COVID-19 free). Assume that 16% of the population has COVID-19. If a randomly chosen person is tested and their result shows a positive test, what is the probability that they have COVID-19?
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Step 1

Lets  "C" be the event when a person has covid

So, p(C) =0.16 (given)

Let "P"  be the event when test detects covid positive. 

P(P | C) =0.88 (given that correctly detect it) 

P(P | Cc) =0.02 (given that false positive ) 

 

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