Z-Test for p (Proportion)

Overview

The one-sample Z-test for proportions tests whether a population proportion equals a hypothesized value.

Test Statistic

\[ Z = \frac{\hat{p} - p_0}{\sqrt{p_0(1-p_0)/n}} \]

where \(\hat{p} = X/n\) is the sample proportion.

Conditions

• \(np_0 \geq 10\) and \(n(1-p_0) \geq 10\) for the normal approximation to be adequate.