Stats.Blue

# Hypothesis Test for a Population Proportion

• Use this test in practice when $np_0 \geq 10$ and $n(1 - p_0) \geq 10$.
 Sample Size $n$: Sample Proportion $\hat{p}$: Null Hypothesis: $H_0: p=p_0=$ Alternative Hypothesis: $H_a:p$ $\neq$ $<$ $>$ $p_0$ Significance Level: $\alpha=$ 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005

 Sample Size: $n=$ Sample Proportion: $\hat{p}=$ Standard Error: $\mbox{SE}_{\hat{p}}=$ Critical $z$ Value: $z^{*}=$ % Confidence Interval: $z$ Statistic: $z=$ $p$ value: $p=$