Calculate cis for proportion of all female hispanic drivers


Like many behaviours, the proportion of drivers who use seat belts varies with factors such as age, sex, ethnicity and local laws. As part of a broader study, investigators observed a random sample of 117 female, Hispanic drivers in Boston; of these, 68 used their seat belts. What is the proportion of seat belt users in this sample? What is the proportion of non-users? Show that calculation of confidence intervals (CI) is legitimate for this sample (i.e. that use of the Normal approximation to the binomial is safe) then calculate the 95% and 99% CIs for the proportion of all female Hispanic drivers in Boston who wear seatbelts. Why is the 99% CI wider than the 95% CI?

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Basic Statistics: Calculate cis for proportion of all female hispanic drivers
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