Question

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?

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Determine the null and alternative hypotheses.

A.

Upper H 0H0​:

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

Upper H 1H1​:

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

B.

Upper H 0H0​:

Polygraph testing is not accurate.

Upper H 1H1​:

Polygraph testing is accurate.

C.

Upper H 0H0​:

Polygraph testing is accurate.

Upper H 1H1​:

Polygraph testing is not accurate.

D.

Upper H 0H0​:

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

Upper H 1H1​:

Whether a subject lies is not independent of the polygraph test indication.Your answer is correct.

Determine the test statistic.

chi squaredχ2equals=nothing

​(Round to three decimal places as​ needed.)

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	Did the Subject Actually​ Lie?
	No​ (Did Not​ Lie)		Yes​ (Lied)
Polygraph test indicated that the subject lied.	1818		4747
Polygraph test indicated that the subject did not lie.	1818		1515

2. what is test statistic?

3. what is P value?

4. what is critical value?

5. fail to reject? reject? why?

Answer 1

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