Population/Sample Proportions (Leaving Cert Mathematics): Quizzes

Proportion in population

$x/n$ where $x=$ successes

$p$ is parameter, $\hat{p}$ is statistic

$\hat{p} \pm z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

200 students

All above

$1.96$

$\sqrt{\hat{p}(1-\hat{p})/n}$

(0.532, 0.668)

Estimates population parameters