Question: A recent survey of random drivers on a highway by the Highway Patrol revealed that 456 out of 500 drivers were properly belted into their seats.

A. Construct a 99% confidence interval for the proportion of all drivers (on that section of highway) that wear their seatbelts. (Show your work or formula.).

B Explain the interval so that someone with no statistical background can understand it.

C. Test, at significance level .05, the claim that more than 85% of (all) drivers were properly belted into their seats. Get an appropriate null hypothesis, alternative hypothesis, z test statistic, a P-value, and a final verbal conclusion.