A bakery is looking to determine the proportion of cupcakes they sell in the morning as opposed to the evening. In a random sample of 250 cupcakes, it was found that 147 were bought in the morning....

A bakery is looking to determine the proportion of cupcakes they sell in the morning as opposed to the evening. In a random sample of 250 cupcakes, it was found that 147 were bought in the morning.

What distribution is used in constructing confidence intervals in this problem?

What is Maximal Margin of Error (E) at 99% confidence?

Construct a 99% confidence interval for the true proportion of interest.