PLEASE PLEASE HELP VERY VERY IMPORTANT The table below includes results from pol

Question

PLEASE PLEASE HELP VERY VERY IMPORTANT

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. H_0: Whether a subject lies is not independent of the polygraph test indication. H_1: Whether a subject lies is independent of the polygraph test indication. B. H_0: Polygraph testing is not accurate. H_1: Polygraph testing is accurate C. H_0: Polygraph testing is accurate. H_1: Polygraph testing is not accurate. D. H_0: Whether a subject lies is independent of the polygraph test indication. H_1: Whether a subject lies is not independent of the polygraph test indication. Determine the test statistic. Chi^2 = Determine the P-value of the test statistic. P-value = Do the results suggest that polygraphs are effective in distinguishing between truth and lies?

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var5
Columns: None

Chi-Square test:

Hence,

Null and alternative hypotheses: Option D

X2 = 3.024

P - value = 0.0820

P - value > 0.05, do not reject Ho. So,

The results do not suggest that polygraphs are effective.

No (Did not lie) Lie Total Test result lied 19 50 69 Test result didnt lie 8 8 16 Total 27 58 85

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