Confidence Interval for Proportion Calculator
Compute confidence intervals for a population proportion with detailed step-by-step solutions!
About Confidence Interval for Proportion Calculator
Welcome to our Confidence Interval for Proportion Calculator. This tool helps you find the confidence interval for a population proportion based on:
- The number of successes in a sample
- The total sample size
- Your desired confidence level
Use this calculator to get both the lower bound and the upper bound of your confidence interval, along with a detailed, step-by-step explanation.
Understanding Confidence Intervals for Proportions
A confidence interval provides a range of values within which the true population proportion is likely to lie. It's based on the sample proportion, sample size, and the desired confidence level.
Formula
For large samples, the approximate confidence interval (using the Normal approximation) for a proportion \( p \) is given by:
\[ \hat{p} \pm z_{\alpha/2} \sqrt{ \frac{\hat{p}(1 - \hat{p})}{n} } \] where:- \(\hat{p} = \frac{\text{number of successes}}{n}\)
- \(n\) is the sample size
- \(z_{\alpha/2}\) is the critical value from the standard normal distribution for the chosen confidence level
Additional Resources
For more information on confidence intervals and their applications, check out the following resources:
Reference this content, page, or tool as:
"Confidence Interval for Proportion Calculator" at https://miniwebtool.com/confidence-interval-for-proportion-calculator/ from miniwebtool, https://miniwebtool.com/
by miniwebtool team. Updated: Jan 6, 2025
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