1. In a recent campus survey, 75 Indiana students were asked ifthey felt that their education at Cleary was preparing them fortheir future careers and 83% of students responded “Extremely wellprepared.” Construct a 95% confidence interval (use z= 1.96) forthe true proportion of Cleary students who feel the same way. Roundstandard error to 4 decimal places.
2.Ă‚Â Ă‚Â Is there anything you could do to get a narrowerrange of values in the previous problem?
3. Is the sample size of 75 from the previous problem enough toget a 3% margin of error and 95% confidence? (To get full creditfind the minimum sample size and then compare to 600 to see iflarge enough). Again use z=1.96. Also use a p-hat value of0.83.
