File:Normal approx interval and logistic example.png

Summary
Wallis, Sean. Original image by author. A version of this plot is published in Wallis (2021: 180).

Gaussian (normal approximation) intervals for n = 10 and n = 100 computed alongside an example logistic curve. Note examples of overshoot (the interval falsely predicts the true proportion p is outside its possible range [0, 1] and zero-width intervals (the interval falsely predicts the true proportion is exactly 0 or 1).