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.
9
23
Polygraph test indicated that the subject did not lie.
10
8
χ2equals=
P-value=
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 whether a subject lies is independent of the polygraph test indication.
B.There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.
C.There is not sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.
D.There is sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.