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? Number of Cigarettes Smoked Per Day 0 1-14 15-34 35 and over Wear Seat Belts 150 27 44 6 Don't Wear Seat Belts 151 21 45 8
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? Number of Cigarettes Smoked Per Day 0 1-14 15-34 35 and over Wear Seat Belts 150 27 44 6 Don't Wear Seat Belts 151 21 45 8
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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?
Number of Cigarettes Smoked Per Day
0 | 1-14 | 15-34 | 35 and over | |
Wear Seat Belts | 150 | 27 | 44 | 6 |
Don't Wear Seat Belts | 151 | 21 | 45 | 8 |
(a) Determine the null and alternative hypotheses.
A.
H0: Heavy smokers are not less likely than non-smokers to wear a seat belt.
H1: Heavy smokers are less likely than non-smokers to wear a seat belt.
H0: Heavy smokers are less likely than non-smokers to wear a seat belt.
H1: Heavy smokers are not less likely than non-smokers to wear a seat belt.
H0: The amount of smoking is independent of seat belt use.
H1: The amount of smoking is not independent of seat belt use.
H0: The amount of smoking is dependent upon seat belt use.
H1: The amount of smoking is not dependent upon seat belt use.
(b) Determine the test statistic.
χ2=?
(Round to three decimal places as needed.)(c) Determine the P-value of the test statistic.
P-Value=?
(Round to three decimal places as needed.)(d) 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?
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