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.               12                  40


Polygraph test indicated that the subject did not lie.     10                  11



Determine the test statistic. ​(Round to three decimal places as​ needed.)


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


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







A.



There is not

sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.






B.



There is

sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.


Your answer is not correct.




C.



There is not

sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.


This is the correct answer.




D.



There is

sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.






Jun 10, 2022
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