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 indicat bolygraph 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 polygra 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. More Info Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) 11 23 33 11 - X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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?
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 ind
H₁: Whether a subject lies is not independent of the polygraph test
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 = 14.186 (Round to three decimal places as needed.)
Determine the P-value of the test statistic.
More Info
P-value = (Round to four decimal places as needed.)
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
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 ind H₁: Whether a subject lies is not independent of the polygraph test 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 = 14.186 (Round to three decimal places as needed.) Determine the P-value of the test statistic. More Info P-value = (Round to four decimal places as needed.) 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 X
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