A law school wants to know how successful its graduates are at passing the bar exam on the first try. Two hundred graduates are randomly selected and asked whether they passed the bar exam the first time they took it. Of the 200 graduates, 130 said they passed the exam on the first try.
1. Set a 90% confidence interval for proportion of law student graduates at this university who passed the bar exam. Interpret the interval in the context of the problem.
2. Set a 93% confidence interval for the proportion of law student graduates at this university who passed the bar exam. Interpret the interval in the context of the problem.
3. Calculate the width of the above confidence intervals (Difference between the Upper confidence limit and the lower confidence limit. What effect does increasing the confidence interval level has on the width?