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

Probability distribution of a sample statistic

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

$\hat{P} = \frac{X}{n}$

$p$

$\sqrt{\frac{p(1-p)}{n}}$

Standard deviation of a sample statistic

Sample proportion (as a random variable)

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

Standard deviation decreases

Probability of attribute remains constant for each selection