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
You can also try our AI Math Solver GPT to solve your math problems through natural language question and answer.
Related MiniWebtools:
Statistics And Data Analysis:
- ANOVA Calculator
- Arithmetic Mean Calculator Featured
- Average Calculator (High Precision) Featured
- Average Deviation Calculator Featured
- Box and Whisker Plot Maker
- Chi-Square Test Calculator
- Coefficient of Variation Calculator (High Precision)
- Cohen's d Calculator
- Compound Growth Calculator Featured
- Confidence Interval Calculator
- Confidence Interval for Proportion Calculator New
- Correlation Coefficient Calculator
- Geometric Mean Calculator
- Harmonic Mean Calculator
- Histogram Maker
- Interquartile Range Calculator
- Kruskal-Wallis Test Calculator
- Linear Regression Calculator
- Logarithmic Growth Calculator
- Mann-Whitney U Test Calculator
- Mean Absolute Deviation (MAD) Calculator
- Mean Calculator (High Precision)
- Mean Median Mode Calculator
- Median Absolute Deviation Calculator
- Median Calculator Featured
- Midrange Calculator
- Mode Calculator
- Outlier Calculator Featured
- Population Standard Deviation Calculator (High Precision) Featured
- Quartile Calculator
- Quartile Deviation Calculator
- Range Calculator
- Relative Standard Deviation Calculator (High Precision) Featured
- Root Mean Square Calculator Featured
- Sample Mean Calculator
- Sample Size Calculator
- Sample Standard Deviation Calculator
- Scatter Plot Maker
- Standard Deviation Calculator (High Precision) Featured
- Standard Error Calculator (High Precision) Featured
- Statistics Calculator Featured
- t-Test Calculator
- Variance Calculator (High Precision)
- Z-Score Calculator New