Confidence Intervals for the Population Proportion (VCE SSCE Mathematical Methods): Quizzes

The sample proportion $\hat{p}$

$\hat{p}$ changes from sample to sample

Both $np$ and $n(1-p)$ must be > 5

$k = 1.9600$

Higher confidence requires wider interval

95% probability $p$ is in this interval

Distance from $\hat{p}$ to interval endpoints

Larger $n$ gives smaller $M$

99% confidence interval

$p$ is fixed but unknown