Question

CENTRAL LIMIT THEOREM: what happens to the mean of sample proportions and the standard error of the proportion as you increase the number of samples?

Answer 1

The standard error for proportions is given by
\[\sqrt{\frac{\hat p(1-\hat p)}{n}}\]
where \(\hat p\) is the estimated population proportion (i.e. the sample proportion) and \(n\) is the sample size. What happens as \(n\) increases?