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

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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.
 
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.
 
 
(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?
 
A. 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.
 
B. 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.
 
C. 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.
 
D. 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.
 
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