Wilson-Adjusted Sample Proportion Calculator
The Wilson-adjusted sample proportion calculator is an essential tool for data analysis, enabling you to estimate population proportions with confidence intervals. It’s crucial for making informed decisions based on sample data.
- Select the sample size or enter a custom value.
- Enter the proportion of the sample that exhibits the attribute of interest.
- Click ‘Calculate’ to see the Wilson-adjusted proportion and confidence interval.
The Wilson score interval is calculated as:
Wilson Score Interval = (p + (z^2 / 2 * n) + z * sqrt((p * (1 - p) + z^2 / 4 * n))) / (1 + z^2 / n)
| Sample Size | Sample Proportion | Wilson-Adjusted Proportion |
|---|---|---|
| 10 | 0.6 | 0.571 – 0.829 |
| 50 | 0.4 | 0.324 – 0.476 |
| 100 | 0.55 | 0.472 – 0.628 |
- Always use a confidence level of 95% for most applications.
- Larger sample sizes provide more precise estimates.
- Consider using a different method if the sample size is very small.
What is the difference between a sample proportion and a Wilson-adjusted proportion?
A sample proportion is a simple estimate of a population proportion, while a Wilson-adjusted proportion provides a more accurate estimate with a confidence interval.