**Learning Goal: **I’m working on a mathematics multi-part question and need an explanation and answer to help me learn.

A random sample of 188 students at a large dormitory cafeteria showed that 66 choose the vegetarian option as their meal plan. let p represent the proportion of students selecting the vegetarian option as a meal plan.

a. What is a point estimate for p?

b. Find 99% confidence interval for p?

c. Interpretation: What does the confidence interval you just computed mean in the context of this application?

d. Check the requirements to compute the confidence interval, we used a normal approximation. Does this seem justified?