Chapter 8.4, Problem 12E

Testing the Difference Between Two Proportions In Exercises 7–12, (a) identify the claim and state H₀ and H_α, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic z. (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent.

12. Seat Belt Use In a survey of 1000 drivers from the Midwest, 855 wear a seat belt. In a survey of 1000 drivers from the South, 909 wear a seat belt. At α = 0.10, can you support the claim that the proportion of drivers who wear seat belts in the Midwest is less than the proportion of drivers who wear seat belts in the South? (Adapted from National Highway Traffic Safety Administration)