a) Verify that the 95% CI for the difference in the proportions of female Hispanic drivers in the two cities who wear seat belts pNY − pBT is (0.149, 0.353). Show your computation. b) Determine if the following statements are true or false, and explain your reasoning if you identify the statement as false. i. There was strong evidence that pNY > pBT. ii. 95% of random samples of 220 female Hispanic drivers in New York City and 117 female Hispanic drivers in Boston will yield differences in sample proportions between 14.9% and 35.3%. iii. A 90% confidence interval for pNY − pBT would be wider. iv. A 95% confidence interval for pBT − pNY is (−0.353, −0.149

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a) Verify that the 95% CI for the difference in the proportions of female Hispanic drivers in the two cities
who wear seat belts pNY − pBT is (0.149, 0.353). Show your computation.

b) Determine if the following statements are true or false, and explain your reasoning if you identify the
statement as false.
i. There was strong evidence that pNY > pBT.
ii. 95% of random samples of 220 female Hispanic drivers in New York City and 117 female Hispanic
drivers in Boston will yield differences in sample proportions between 14.9% and 35.3%.
iii. A 90% confidence interval for pNY − pBT would be wider.
iv. A 95% confidence interval for pBT − pNY is (−0.353, −0.149).
The proportion of drivers who use seat belts depends on things like age (young people are more likely
to go unbelted) and gender (women are more likely to use belts). It also depends on local law. In New
York City, police can stop a driver who is not belted. In Boston at the time of the study, police could
cite a driver for not wearing a seat belt only if the driver had been stopped for some other violation.
Here are data from observing random samples of female Hispanic drivers in these two cities.
City
New York
Boston
Wearing
Seat Belt?
Yes No
183
68
4
Total
37 220
49
117
Transcribed Image Text:The proportion of drivers who use seat belts depends on things like age (young people are more likely to go unbelted) and gender (women are more likely to use belts). It also depends on local law. In New York City, police can stop a driver who is not belted. In Boston at the time of the study, police could cite a driver for not wearing a seat belt only if the driver had been stopped for some other violation. Here are data from observing random samples of female Hispanic drivers in these two cities. City New York Boston Wearing Seat Belt? Yes No 183 68 4 Total 37 220 49 117
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