Sample Size for Proportions: Learn It 2

  • Find the required sample size for a desired margin of error and population’s confidence interval.
The equation for margin of error ([latex]ME[/latex]) is [latex]ME = z^{*} \cdot (\text{standard error})[/latex]

The equation for standard error for a proportion is [latex]\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/latex], where [latex]\hat{p}[/latex] is the sample proportion and [latex]n[/latex] is the sample size.

Let’s explore how sample size affects the margin of error.

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