Posted by **Apryl** on Wednesday, March 28, 2012 at 12:54pm.

Suppose that a random sample of n kernels of popcorn is taken and x of these kernels pop. The buyer wants to be 95% sure that the point estimate for p will be within 0.01.If no preliminary study is done to estimate p, how large a sample should the buyer use? If a preliminary study is done and p hat is 0.86. How large a sample is needed if we use the results of the preliminary study?