Use our free Sample Size Calculator to determine the ideal number of participants required for your study or survey. Ensure statistically significant results when estimating population proportions with a specific confidence level and margin of error. Perfect for researchers, students, and data analysts.
Formula:
Formula for Sample Size (n) to Estimate Population Proportion
The formula used to calculate the sample size for estimating a population proportion is:
n = (Z2 * p * (1-p)) / E2
Where:
- n = Required Sample Size
- Z = Z-score corresponding to the desired Confidence Level (e.g., 1.96 for 95% Confidence)
- p = Expected Population Proportion (as a decimal, e.g., 0.5 for 50%). Use 0.5 if unknown for maximum sample size.
- E = Margin of Error (as a decimal, e.g., 0.05 for ±5%)