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. Is this theory supported by the sample data? E Click the icon to view the data table. Determine the null and alternative hypotheses. - X O A. Hg: The amount of smoking is dependent upon seat belt use. H: The amount of smoking is not dependent upon seat belt use More info O B. Hg: 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. Number of Cigarettes Smoked per Day 1-14 15-34 35 and over Wear Seat Belts Don't Wear Seat Belts 172 153 OC. Hg: Heavy smokers are not less likely than non-smokers to wear a seat belt. H,: Heavy smokers are less likely than non-smokers to wear a seat belt. O D. Hg: The amount of smoking is independent of seat belt use. H: The amount of smoking is not independent of seat belt use. Print Done Determine the test statistic. = (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-Value = (Round to three decimal places as needed.) 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 concermed about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? O A. There is sufficient evidence to reject 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 B. There is not sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data. OC. There is sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data. O D. There is not sufficient evidence to reject the claim that heavy smokers are less likely than non-smokers to wear a seat belt. The theory is supported by the sample data.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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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. Is this theory supported by the sample data?
E Click the icon to view the data table.
Determine the null and alternative hypotheses.
O A. Ho: The amount of smoking is dependent upon seat belt use.
More info
H: The amount of smoking is not dependent upon seat belt use.
O B. Ho: Heavy smokers are less likely than non-smokers to wear a seat belt.
Number of Cigarettes Smoked per Day e
15-34 35 and over
H1: Heavy smokers are not less likely than non-smokers to wear a seat belt.
1-14
20
Wear Seat Belts
Don't Wear Seat Belts
O C. Ho: Heavy smokers are not less likely than non-smokers to wear a seat belt.
172
35
8
153
19
47
5
H,: Heavy smokers are less likely than non-smokers to wear a seat belt.
O D. Ho: The amount of smoking is independent of seat belt use.
H1: The amount of smoking is not independent of seat belt use.
Print
Done
Determine the test statistic.
x2 = (Round to three decimal places as needed.)
Determine the P-value of the test statistic.
P-Value =
(Round to three decimal places as needed.)
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. Is this theory supported by the sample data?
O A. There is sufficient evidence to reject 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 B. There is not sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data.
OC. There is sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data.
O D. There is not sufficient evidence to reject the claim that heavy smokers are less likely than non-smokers to wear a seat belt. The theory is supported by the sample data.
Transcribed Image Text: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. Is this theory supported by the sample data? E Click the icon to view the data table. Determine the null and alternative hypotheses. O A. Ho: The amount of smoking is dependent upon seat belt use. More info H: The amount of smoking is not dependent upon seat belt use. O B. Ho: Heavy smokers are less likely than non-smokers to wear a seat belt. Number of Cigarettes Smoked per Day e 15-34 35 and over H1: Heavy smokers are not less likely than non-smokers to wear a seat belt. 1-14 20 Wear Seat Belts Don't Wear Seat Belts O C. Ho: Heavy smokers are not less likely than non-smokers to wear a seat belt. 172 35 8 153 19 47 5 H,: Heavy smokers are less likely than non-smokers to wear a seat belt. O D. Ho: The amount of smoking is independent of seat belt use. H1: The amount of smoking is not independent of seat belt use. Print Done Determine the test statistic. x2 = (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-Value = (Round to three decimal places as needed.) 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. Is this theory supported by the sample data? O A. There is sufficient evidence to reject 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 B. There is not sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data. OC. There is sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data. O D. There is not sufficient evidence to reject the claim that heavy smokers are less likely than non-smokers to wear a seat belt. The theory is supported by the sample data.
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