understand the concept of the sample proportion ˆp as a random variable whose value varies between samples, and the formulas for the mean p and standard deviation √(p(1−p)/n of the sample proportion ˆp
ACMMM175
examine the approximate normality of the distribution of ˆp for large samples
ACMMM176
simulate repeated random sampling, for a variety of values of p and a range of sample sizes, to illustrate the distribution of ˆp and the approximate standard normality of (ˆp−p)/(sqrt(ˆp(1−ˆp)/n) where the closeness of the approximation depends on both n and p
