The table below includes results from polygraph (lie detector) experiments conducted by researchers. In sach 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 whather a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? EE Click the icon to view the table. Determine the null and alternative hypotheses () A. Hy: Polygraph testing is not accurate. H;: Polygraph testing is accurate. ) B. Hy: Whether a subject lies is independent of the polygraph test indication. Hy: Whether a subject lies is not independent of the polygraph test indication. (0 C. Hy: Whether a subject lies is not independent of the polygraph test indication. H,: Whether a subject lies is independent of the polygraph test indication (0 D. Hy: Polygraph testing is accurate. H,: Polygraph testing is not accurate. Determine the test statistic )(2 = (Round to three decimal places as needed ) Determine the P-value of the test statistic. P-value = (Round to four decimal places as needed.) Do the results suggest that polygraphs are effective in distinguishing between truth and lies? () A. There is sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate. () B. There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. (O C. There is not sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate. (O D. There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. 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) A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. |s this theory supported by the sample data? E Click the icon to view the data table. Determine the null and alternative hypotheses. Choose the correct answer below: (2 A. Hy: Heavy smokers are less likely than non-smokers to wear a seat belt. H,: Heavy smokers are not less likely than non-smokers to wear a seat belt () B. H,: Heavy smokers are not less likely than non-smaokers to wear a seat balt 0 ly H,: Heavy smokers are less likely than non-smokers to wear a seat belt (2 C. Hg: The amount of smoking is independent of seat belt use. H,: The amount of smoking is not independent of seat belt use. (2 D. Hy: The amount of smoking Is dependent upon seat belt use H,: The amount of smaking is not dependent upon seat belt use Determine the test statistic )(2 = (Round to two dacimal places as needed.) Determine the P-value of the test statistic P-Value=| |(Round to three decimal places as needed.) What is the conclusion of the test? () A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the amount of smoking is independent of seat belt use. The theory is not supporied by the sample data. () B. Reject the null hypothesis. There is sufficient avidence to warrant rejection of the claim that heavy smokers are less likely than non-smokers to wear a seat belt. The theory is supported by the sample data. () C. Fail to reject the null hypothesis. Thera is not sufficient evidence to warrant rejection of the claim that heavy smokers are less likely than non-smokers to wear a seat belt. The theory is supported by the sample data (O D. Fail to reject the null hypothesis. Thera is not sufficient evidence to warrant rejection of the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data Cigarettes and Seat Belts Number of Cigarettes Smoked per Day 0 | 1-14 | 15-34 [35and over Wear Seat Belt Do Mot Wear Seat