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 Not Lie ; Lied Polygraph indicated lie 13 ; 39 Polygraph indicated no lie 18 ; 10   χ2equals= 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
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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 Not Lie ; Lied
Polygraph indicated lie 13 ; 39
Polygraph indicated no lie 18 ; 10
 

χ2equals=

P-value=

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

A.There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

B.There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

C.There is not sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.

D.There is sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.

 

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