Did the Subject Actually Lie Psubject lied negative test res

Did the Subject Actually Lie? P(subject lied |negative test result) = [] (Round to three decimal places as needed.) Find the probability of selecting a subject with a negative test result, given that the subject lied. P(negative test result | subject lied) = (Round to three decimal places as needed) Compare the two values. Are they equal?

Solution

P(subject lies| negative test) = P(subject lies and negative test) /P(negative test) = 9/(30+9) = 9/39 = 0.2307

b)

P(negative test| subject lies) = P(subject lies and negative test) /P(subject lies) = 9/(44+9) = 9/53 = 0.1698