The Exact Distribution of the Sample Proportion (VCE SSCE Mathematical Methods): Quizzes

Distribution of a sample statistic

$E(\hat{P}) = p$

$\text{sd}(\hat{P}) = \sqrt{\frac{p(1-p)}{n}}$

$\binom{n}{x} = \frac{n!}{x!(n-x)!}$

$\hat{P} = \frac{X}{n}$ where $X$ is binomial

The standard deviation of a sample stat

It decreases

$p = 0.6$

Probability remains constant for each sel

$\binom{4}{2}0.7^2 0.3^2$