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Confidence Interval for Proportion Calculator

Compute confidence intervals for a population proportion with detailed step-by-step solutions!

Confidence Interval for Proportion Calculator
Compute a Confidence Interval for a Proportion:

Try the following examples: [Example 1] [Example 2] [Example 3]

Number of Successes (x):
Sample Size (n):
Confidence Level:

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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:

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:

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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