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?

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.              158.          29.         41.              6

Don't Wear Seat Belts      160.         20.         30               8

 

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.
 
B.
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.
 
C.
H0​:
The amount of smoking is independent of seat belt use.
H1​:
The amount of smoking is not independent of seat belt use.
 
D.
H0​:
The amount of smoking is dependent upon seat belt use.
H1​:
The amount of smoking is not dependent upon seat belt use
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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning