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?                                                  TABLE                                                                     Did the Subject Actually​ Lie?                                                                                 No​ (Did Not​ Lie)       Yes​ (Lied) Polygraph test indicated that the subject lied.           7                             41 Polygraph test indicated that the subject did not lie. 18                           11 Determine the test statistic. X2 =  The​ P-value is

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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?

                                                 TABLE

                                                                    Did the Subject Actually​ Lie?                                                                                 No​ (Did Not​ Lie)       Yes​ (Lied)

Polygraph test indicated that the subject lied.           7                             41

Polygraph test indicated that the subject did not lie. 18                           11

Determine the test statistic. X2 = 

The​ P-value is

 

 

 

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