Confidence Interval Simulator

Generate samples to see if the calculated intervals capture the true value. Confidence Interval Simulator lets you explore this hands-on instead of only reading about it.

Apply inference techniques to estimate and test claims about population proportions using confidence intervals and significance tests. It focuses on Confidence Intervals for One Proportion, Significance Tests for One Proportion, Comparing Two Proportions, Margin of Error, P-values and Significance Levels, Type I and Type II Errors from the “Unit 6: Inference for Categorical Data: Proportions” section.

The “Sample Size (n)”, “Confidence Level” sliders change the key inputs; you can drag elements directly on the canvas; a dropdown switches between scenarios; the “Sample ×10”, “Reset” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

AP Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is equivalent to a one-semester introductory college statistics course and focus… This demo is the interactive piece for the “Unit 6: Inference for Categorical Data: Proportions” section. Open the full AP Statistics course wiki at https://www.getlykke.com/explore/public/ap-statistics-70553ac9-70f9-422d-b8b6-c328240d85c1 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Confidence Intervals for One Proportion, Significance Tests for One Proportion, Comparing Two Proportions, Margin of Error, P-values and Significance Levels, Type I and Type II Errors — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on AP Statistics alone.