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The table below displays results from experiments with polygraph instruments. Fi

ID: 3302082 • Letter: T

Question

The table below displays results from experiments with polygraph instruments. Find P(subject lied | negative test result). Compare this result with the probability of selecting a subject with a negative test result, given that the subject lied. Are P(subject lied |negative test result) and P(negative test result | subject lied) equal? Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 11 42 Negative test results 33 12 P(subject lied | negative test result = (Round to three decimal places as needed.)

Explanation / Answer

Looking at the row "negative test results", there are 33+ 12 = 45 of them.

12 of the 45 actually lied.

Thus,

P(subject lied|negative test result) = 12 / 45

                                                           = 0.267 ( answer )

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