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. 18 45 Polygraph test indicated that the subject did not lie. 23 8 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. χ2= Determine the P-value of the test statistic. 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 polygraph testing is 95% accurate. B. There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. C. There is 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 whether a subject lies is independent of the polygraph test indication.

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?

	Did the Subject Actually Lie?
	No (Did Not Lie)	Yes (Lied)
Polygraph test indicated that the subject lied.	18	45
Polygraph test indicated that the subject did not lie.	23	8

Determine the null and alternative hypotheses.

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.

H0:

Polygraph testing is not accurate.

H1:

Polygraph testing is accurate.

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.

H0:

Polygraph testing is accurate.

H1:

Polygraph testing is not accurate.

Determine the test statistic.

χ2=

Determine the P-value of the test statistic.

P-value=

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

There is not

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

There is not

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

There is

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

There is

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

Jun 08, 2022

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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...

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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...

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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...