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. OA. Ho: Polygraph testing is not accurate. H₁: Polygraph testing is accurate. B. Ho: Whether a subject lies is independent of the polygraph test indication. H₁: Whether a subject lies is not independent of the polygraph test indication. OC. Ho: Polygraph testing is accurate. H₁: Polygraph testing is not accurate. O D. Ho: Whether a subject lies is not independent of the polygraph test indication. H₁: Whether a subject lies is independent of the polygraph test indication. Determine the test statistic. x² = (Round to three decimal places as needed.) More Info Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Print Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) 11 23 33 Done 11 D - X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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.
A. Ho: Polygraph testing is not accurate.
H₁: Polygraph testing is accurate.
B. Ho: 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. Ho: Polygraph testing is accurate.
H₁: Polygraph testing is not accurate.
D. Ho: Whether a subject lies is not independent of the polygraph test indication.
H₁: Whether a subject lies is independent of the polygraph test indication.
Determine the test statistic.
x² = (Round to three decimal places as needed.)
More Info
Polygraph test indicated that
the subject lied.
Polygraph test indicated that
the subject did not lie.
Print
Did the Subject Actually Lie?
No (Did Not Lie)
11
Yes (Lied)
23
33
Done
11
I
X
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. A. Ho: Polygraph testing is not accurate. H₁: Polygraph testing is accurate. B. Ho: 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. Ho: Polygraph testing is accurate. H₁: Polygraph testing is not accurate. D. Ho: Whether a subject lies is not independent of the polygraph test indication. H₁: Whether a subject lies is independent of the polygraph test indication. Determine the test statistic. x² = (Round to three decimal places as needed.) More Info Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Print Did the Subject Actually Lie? No (Did Not Lie) 11 Yes (Lied) 23 33 Done 11 I X
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