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?
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?
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