Sample Size Calculator | Margin of Error & Survey Solver
Calculate the required sample size for your research study or solve for the margin of error using finite population corrections and confidence levels.
* 50% is standard default providing the most conservative (maximum) sample size.
Required Minimum Sample Size (n)
385 participants
Z-Score Translator
1.95996
FPC Correction
Not Required ❌
Margin of Error Sensitivity Ledger (95% Confidence)
| Sample Size (n) | Margin of Error (E) | Audit Status |
|---|---|---|
| 100 | ±9.7998% | Alternative Projection |
| 250 | ±6.1979% | Alternative Projection |
| 385 | ±4.9944% | ★ Solver Selection |
| 500 | ±4.3826% | Alternative Projection |
| 1000 | ±3.099% | Alternative Projection |
Statistical Audit Workings
Determined critical two-tailed Z-score for CL = 95%: Z = 1.95996
Proportion model: expected proportion (p) = 0.5, Margin of Error (E) = 0.05
Base sample size formula: n₀ = (Z² * p * (1-p)) / E²
n₀ = (1.95996² * 0.5 * 0.5) / 0.05² = 384.1443
Rounded up to next whole participant integer: n = 385