The table below includes results from polygraph(lie detector) experiments conducted by researchers. In eachcase, it was known if the subjected lied or did notlie, 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 andlies?

Click the icon to view the table.

Did the Subject ActuallyLie?

No(Did NotLie)

Yes(Lied)

Polygraph test indicated that the subject lied.

8

32

Polygraph test indicated that the subject did not lie.

27

7

Determine the null and alternative hypotheses.

A.

H0: Whether a subject lies is independent of the polygraph test indication.

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

B.

H0: Polygraph testing is not accurate.

H1: Polygraph testing is accurate.

C.

H0: Whether a subject lies is not independent of the polygraph test indication.

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

D.

H0: Polygraph testing is accurate.

H1: Polygraph testing is not accurate.

Determine the test statistic.

2=

nothing

(Round to three decimal places asneeded.)

Determine theP-value of the test statistic.

P-value=

nothing

(Round to four decimal places asneeded.)

Do the results suggest that polygraphs are effective in distinguishing between truth andlies?

A.

Thereisnot sufficient evidence to warrant rejection of the claim that polygraph testing is95% accurate.

B.

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

C.

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

D.

Thereis sufficient evidence to warrant rejection of the claim that polygraph testing is95% accurate.