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 193 12 45 5 ​Don't Wear Seat Belts 147 21 32   a) determine the null and alternative hypotheses. b) find the test statistic. c) determine the P-value. d) does this reject or fail to reject the null hypothesis?

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 58E: What is meant by the sample space of an experiment?
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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
193
12
45
5
​Don't Wear Seat Belts
147
21
32
 

a) determine the null and alternative hypotheses.

b) find the test statistic.

c) determine the P-value.

d) does this reject or fail to reject the null hypothesis?

 

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