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Hypothesis Test for a Population Proportion

  • In practice, we may trust this test when the number of successes is 10 or greater and the number of failures is 10 or greater. That is, 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:$H_a:p$ $p_0$
Significance Level: $\alpha=$

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