Confidence Interval & Hypothesis Test Wizard

Walk through t and z workflows for means and proportions, log every formula step, and share the setup with classmates.

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Choose a scenario, supply summary statistics, and the wizard calculates the test statistic, critical values, confidence interval, p-value, and a structured explanation of each step. The URL captures your selections and inputs for quick collaboration.

Inputs

Scenario
Confidence & tails
Sample summary

Results

Provide inputs and run the analysis to see the summary, interval, and decision.

P-value visual

The shaded area represents the p-value relative to the null distribution (Student’s t or standard normal).

Teacher notes

FAQ

What does the p-value shading show?

The canvas shades the rejection region that corresponds to the numeric p-value. It is easy to explain why two-tailed tests shade both sides while one-tailed tests only shade the alternative.

How are the Wilson and Newcombe intervals computed?

Wilson score intervals apply the z critical value to the adjusted proportion. Newcombe combines two Wilson intervals to build the difference bounds without relying on a pooled approximation.