In testing a hypothesis about a population proportion p,the z test statistic measures how close the computed sample proportion $\hat { P }$ has come to the hypothesized population parameter.

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The z test statistic is used to determine how many standard deviations a sample proportion ($\hat { P }$) is from the hypothesized population proportion (p). Therefore, it measures how close or how far the sample proportion is from the hypothesized value.

In Testing a Hypothesis About a Population Proportion P,the Z P^\hat { P }P^

In Testing a Hypothesis About a Population Proportion P,the Z $\hat { P }$