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. 7   40   Polygraph test indicated that the subject did not lie. 27   11

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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.
7
 
40
 
Polygraph test indicated that the subject did not lie.
27
 
11
 
 
 
Determine the null and alternative hypotheses.
 
 
A.
H0​:
Polygraph testing is accurate.
H1​:
Polygraph testing is not accurate.
 
B.
H0​:
Whether a subject lies is independent of the polygraph test indication.
H1​:
Whether a subject lies is not independent of the polygraph test indication.
 
C.
H0​:
Whether a subject lies is not independent of the polygraph test indication.
H1​:
Whether a subject lies is independent of the polygraph test indication.
 
D.
H0​:
Polygraph testing is not accurate.
H1​:
Polygraph testing is accurate
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