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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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.

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