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? Did the Subject Actually​ Lie?     No​ (Did Not​ Lie) Yes​ (Lied)   Polygraph test indicated that the subject lied. 12   22   Polygraph test indicated that the subject did not lie. 25   10   Determine the test statistic. Determine the P Value. Do the results suggest that polygraphs are effective in distinguishing between truth and​ lies?

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