In a survey of 340 drivers from the Midwest, 289 wear a seat belt. In a survey

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In a survey of 340 drivers from the Midwest, 289 wear a seat belt. In a survey of 300 drivers from the West, 282 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 West?

(a) Identify the claim and state H0 and Ha,

(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,

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent. If convenient, use technology.

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