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? a. Determine the test statistic. chi square equals  ​(Round to three decimal places as​ needed.)   b. Determine the​ P-value of the test statistic. ​P-value equals ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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?

a. Determine the test statistic.
chi square equals 

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

 

b. Determine the​ P-value of the test statistic.

​P-value equals
​(Round to four decimal places as​ needed.)
 
Did the Subject Actually Lie?
No (Did Not Lie)
Yes (Lied)
Polygraph test indicated that
the subject lied.
Polygraph test indicated that
the subject did not lie.
7
46
10
11
Transcribed Image Text:Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. 7 46 10 11
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