The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case, it was known if the subjected lied or did not​ lie, so the table indicates when the...


The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case, it was known if the subjected lied or did not​ lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and​ lies?



No(did not lie)   Yes(lied)


Polygraph test indicated that the subject lied.                14                   47


Polygraph test indicated that the subject did not lie.      9                    12



Determine the test statistic. (round to three decimal places)


Determine the​ P-value of the test statistic. (round to four decimal places)


Do the results suggest that polygraphs are effective in distinguishing between truth and​ lies?



Jun 10, 2022
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