Margin of Error Calculator to calculate the margin of error (MOE) percent for a survey or an experiment.
MOE Calculator |
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| Confidence Level (a) * | |
| Sample Size (n) * | |
| Proportion Percentage (p) * | |
| Population Size (N) | |
| Result | * population size must be greater than the sample size |
Following is the margin of error formula on how to calculate margin of error for any experiment. There are two formulas for margin of error, with and without a popular size.
Margin of Error Formula = z * √p * (1 - p) / √n, where
z = Confidence Level
p = Proportion Percentage
n = Sample Size
To include population size in the the experiment, use the following margin of error formula.
Margin of Error Formula With Population Size = z * √p * (1 - p) / √(N - 1) * n / (N - n), where
z = Confidence Level
p = Proportion Percentage
n = Sample Size
N = Population Size
To find the z score value from the confidence level, use the confidence level table below.
| Confidence Level | z |
|---|---|
| 70% | 1.04 |
| 75% | 1.15 |
| 80% | 1.28 |
| 85% | 1.44 |
| 90% | 1.645 |
| 91% | 1.70 |
| 92% | 1.75 |
| 93% | 1.81 |
| 94% | 1.88 |
| 95% | 1.96 |
| 96% | 2.05 |
| 97% | 2.17 |
| 98% | 2.33 |
| 99% | 2.576 |
| 99.5% | 2.807 |
| 99.9% | 3.29 |
| 99.99% | 3.89 |
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