Question

Primary seat belt laws allow police to stop a motorist for not wearing a seat belt....

Primary seat belt laws allow police to stop a motorist for not wearing a seat belt. According to the NHTSA, the percentage of drivers wearing seat belts in the state of Illinois was 72.5% in 2014 and 78.6% in 2015. Assume that these percentages are based on random samples of 1000 drivers in 2014 and 1050 in 2015.

  1. Construct a 98% confidence interval for the difference between the two population proportions.

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Test at the 1% significance level whether the proportion of all drivers in Illinois who used eat belts in 2014 is lower than that for 2015, using a p-value test

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