Standard Error Sample Proportion Calculator
Introduction & Importance
The standard error of a sample proportion is a measure of the accuracy of an estimate of a population proportion. It’s crucial in statistics and survey sampling to understand the precision of your estimates.
How to Use This Calculator
- Enter your sample size.
- Enter your sample proportion.
- Select your desired confidence level.
- Click ‘Calculate’.
Formula & Methodology
The formula for standard error of sample proportion is:
SE = √[(p * (1 – p)) / n]
where p is the sample proportion, and n is the sample size.
Real-World Examples
Data & Statistics
| Sample Size | Sample Proportion | Confidence Level | Standard Error |
|---|---|---|---|
| 100 | 0.5 | 95% | 0.0495 |
| 500 | 0.3 | 99% | 0.0173 |
Expert Tips
- Larger sample sizes result in smaller standard errors.
- As the confidence level increases, the standard error also increases.
Interactive FAQ
What is a confidence interval?
A confidence interval is a range of values around an estimate that indicates the reliability of the estimate.