2. State part officials were interested in the proportion of campers who consider the campsite spacing adequate in a particular campground. They decided to take a simple random sample of n = 30 from the first N = 300 camping parties that visited the campground. Let 311- = 0 if the 1'\" party sampled does not think the campsite spacing is adequate and yi = 1 if he or she does. Given that 2321 yi = 25 (a) Estimate p, the proportion of campers who consider the campsite spacing adequate. (b) Place a bound on the error of estimation with 95% confidence level. (c) Determine the sample size required to estimate p with a bound on the error of estimation of magnitude B = 0.05. (d) Suppose there is no prior information on the proportion of campers who consider the campsite spacing adequate, determine the sample size in part (c) again