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?

Determine the null and alternative hypotheses.

A. Ho: Polygraph testing is not accurate.

H1: Polygraph testing is accurate.

B. Ho: Whether a subject lies is independent of the polygraph test indication.

H1: Whether a subject lies is not independent of the polygraph test indication.

C. Ho: Polygraph testing is accurate.

H1: Polygraph testing is not accurate.

D. Ho: Whether a subject lies is not independent of the polygraph test indication.

H1: Whether a subject lies is independent of the polygraph test indication.

Determine the test statistic.

2 = ____________

(Round to three decimal places as needed.)

Determine the P-value of the test statistic.

P-value = ____________

(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 whether asubject lies is independent of the polygraph test indication.

B. There is sufficient evidence to warrant rejection of the claim that whether asubject lies is independent of the polygraph test indication.

C. There is not sufficient evidence to warrant rejection of the claim that polygraphtesting is 95% accurate.

D. There is sufficient evidence to warrant rejection of the claim that polygraphtesting is 95% accurate.

___________________________________________________________________________

Did the Subject Actually Lie?

No (Did Not Lie)Yes (Lied)

Polygraph test indicated that the subject lied.2041

Polygraph test indicated that the subject did not lie.2211