The table below displays results from experiments with polygraphinstruments Find

Question

The table below displays results from experiments with polygraphinstruments Find PIsuoject tresun) Compare this resun with the prolabily of electing a subject manegativetest sul, given that the subiect led Are PIsutject lied negative test result) and Penegative test resul Isubject led equal? Did the Subject Lie? o Actually No (Did Not Lie) Yes (Lied) Positive test results 14 41 Negative test results Posubjectledinegative test result) Round to decima places as needed) Find the probability of selecting a subject with a negative test result given that the subject Pinegative test resur subject (Round to three decimal places as needed) Compare the two values Are they equal?

Explanation / Answer

P(A|B) = P(A and B) / P(B)

P(lied|negative test result) = P(subject lied and negative test result) / P(negative test result)

= 12/(32+12) = 0.273

P(negative test result | subject lied) = P(negative test result and subject lied)/P(subject lied)

= 12/(41+12) = 0.226

No. These two results are not equal

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