Suppose that a simple random sample of 128 college students is asked, "are you vegetarian or vegan?", and 22 respond "Yes."
(a) Are the requirements met to construct 95% confidence interval estimate of the proportion of college students that are vegetarian or vegan? Explain.
(b) No matter how you answered part (a), construct a 95% confidence interval of the proportion of college students who are vegetarian or vegan.
(c) Suppose that 600 students are expected to attend a campus event where lunch is to be served. How many vegetarian/vegan meals should be prepared?
(d) Suppose that the survey was determined to be flawed, thereby disqualifying its results as meaningful. How many students must a new study survey in order to obtain a confidence interval with a margin of error no more than 2 percentage points?