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Proportion Margin of Error

Estimate a normal-approximation margin from sample size and proportion.

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Local calculations. Results are estimates, not professional advice.

Margin of error

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This Wald approximation is unreliable for small samples or proportions near zero or one; use Wilson or exact intervals instead.

Formula

E = z√(p(1−p)/n)

Estimate a normal-approximation margin from sample size and proportion.

Worked example

Proportion (%)
50
Sample size
400
Confidence level (%)
95
Margin of error
4.89990996135 percentage points

Scope and limitations

This Wald approximation is unreliable for small samples or proportions near zero or one; use Wilson or exact intervals instead.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: a64ddcc9dcae · Example checked:

Methodology

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