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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Calculate chi squared and p-value. 

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?
Transcribed Image Text: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) O
Polygraph test indicated that
the subject lied.
Polygraph test indicated that
the subject did not lie.
7
33
8
7
Transcribed Image Text:Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) O Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. 7 33 8 7
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