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. 12   22   Polygraph test indicated that the subject did not lie. 25   10   Determine the test statistic. Determine the P Value. Do the results suggest that polygraphs are effective in distinguishing between truth and​ lies?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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.
12
 
22
 
Polygraph test indicated that the subject did not lie.
25
 
10
 

Determine the test statistic.

Determine the P Value.

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

 

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