Exact Confidence Intervals for a Single Proportion

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows calculations of point estimations and confidence intervals for various single proportions of populations obeying a condition (or trait), as well as their plots versus -value. This is done for differing populations obeying and violating a condition (or trait) and differing -values for estimating the lower and upper bounds of the confidence intervals.

Contributed by: Theodora Chatzimichail and Aristides T. Hatjimihail (Aristeidis T. Chatzimichail) (July 2018)
(Hellenic Complex Systems Laboratory)
Open content licensed under CC BY-NC-SA



The exact method using the -distribution is applied for calculating the confidence interval of each single proportion [1].


[1] J. L. Fleiss, B. Levin and M. C. Paik, Statistical Methods for Rates and Proportions, 3rd ed., Hoboken, NJ: J. Wiley, 2003.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.