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? E Click the icon to view the table. Determine the null and alternative hypotheses. More Info O A. Ho: Whether a subject lies is not independent of t H,: Whether a subject lies is independent of the p O B. Ho: Polygraph testing is not accurate. H,: Polygraph testing is accurate. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) OC. Họ: Whether a subject lies is independent of the p H,: Whether a subject lies is not independent of t Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. 19 44 8 12 O D. Ho: Polygraph testing is accurate. H,: Polygraph testing is not accurate. Print Done Determine the test statistic. x² = | (Round to three decimal places as needed.)

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?
Click the icon to view the table.
Determine the null and alternative hypotheses.
More Info
O A. Ho: Whether a subject lies is not independent of t
H1: Whether a subject lies is independent of the p
B. Ho: Polygraph testing is not accurate.
H4: Polygraph testing is accurate.
Did the Subject Actually Lie?
No (Did Not Lie)
Yes (Lied)
C. Ho: Whether a subject lies is independent of the p
H,: Whether a subject lies is not independent of t
Polygraph test indicated that
the subject lied.
Polygraph test indicated that
the subject did not lie.
19
44
8.
12
D. Ho: Polygraph testing is accurate.
H4: Polygraph testing is not accurate.
Print
Done
Determine the test statistic.
x2 = (Round to three decimal places as needed.)
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? Click the icon to view the table. Determine the null and alternative hypotheses. More Info O A. Ho: Whether a subject lies is not independent of t H1: Whether a subject lies is independent of the p B. Ho: Polygraph testing is not accurate. H4: Polygraph testing is accurate. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) C. Ho: Whether a subject lies is independent of the p H,: Whether a subject lies is not independent of t Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. 19 44 8. 12 D. Ho: Polygraph testing is accurate. H4: Polygraph testing is not accurate. Print Done Determine the test statistic. x2 = (Round to three decimal places as needed.)
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