Seatbelt Use and Cigarettes Smoked (8 points): A study of seatbelt users and nonusers yielded the randomly selected sample data summarized in the table below. Use a .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 likely to wear seat belts. Is this theory supported by the sample data?

Number of Cigarettes Smoked per Day

0

1-14

15-34

34+

Wear Seat Belts

151

28

45

7

Don't Wear Seat Belts

148

19

30

9

a) Calculate the expected value of the number of people who wear seatbelts and smoke 15-34 cigarettes per day using the formula on pg 578.

b) State the null and alternative hypothesis.

c) Conduct the test using technology. What is the statistic and p-value?

d) Conclusion. Include reject or fail to reject the null hypothesis and state the conclusion in context.