Refer to Exercise 9.S.6. Suppose you do not trust that the 4% taint rate for wines in general is a useful guess for this particular winery.
(a) Suppose that, based on previous years of data at this winery, about 10% of the wines have had cork taint. How many bottles would need to be included in a random sample if you want the standard error of your estimate to be less than or equal to 1 percentage point?
(b) How many bottles would need to be included in a random sample if you want the standard error of your estimate to be less than or equal to 1 percentage point, no matter what the value of p is?