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A study of seat belt users and nonusers yielded the randomly selected sample dat

ID: 3229395 • Letter: A

Question

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

Determine the null and alternative hypotheses.

A. Upper H 0 H0: Heavy smokers are not less likely than non-smokers to wear a seat belt.

    Upper H 1 H1: Heavy smokers are less likely than non-smokers to wear a seat belt.

B. Upper H 0 H0: The amount of smoking is independent of seat belt use.

    Upper H 1 H1: The amount of smoking is not independent of seat belt use.

C. Upper H 0 H0: Heavy smokers are less likely than non-smokers to wear a seat belt.

    Upper H 1 H1: Heavy smokers are not less likely than non-smokers to wear a seat belt.

D. Upper H 0 H0: The amount of smoking is dependent upon seat belt use.

    Upper H 1 H1: The amount of smoking is not dependent upon seat belt use.

0 1-14 15-34 35 over Wear seatbelts 194 17 44 12 Dnot wear seatbelts 142 24 35 8

Explanation / Answer

B. Upper H 0 H0: The amount of smoking is independent of seat belt use.

    Upper H 1 H1: The amount of smoking is not independent of seat belt use.