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The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case,...

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.

χ2 = ____________​

(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 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.

___________________________________________________________________________

   Did the Subject Actually​ Lie?

No​ (Did Not​ Lie) Yes​ (Lied)
Polygraph test indicated that the subject lied. 20 41

Polygraph test indicated that the subject did not lie.    22 11

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orchestra answered 1 year ago
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