Introduction
The common approach
Common Approach: The math
Why the common approach is bad
Alternatives
Alternative 1: Wilson and Agresi-Coull intervals
Wilson interval: The math
Alternative 2: Bayesian method
Comparisons
Summary
Introduction
Estimating a proportion gets covered in virtually every introductory statistics course, so why would I be writing a post about it? There are three reasons:
One of my goals with these posts is to explain some basic statistical concepts.