Web Activity: Distribution of the P-values Under the Null Hypothesis of a One-Sample Z-test

The goal of the activity is for students to develop an intuition about the distribution of the P-value under the null hypothesis of a two-sided, one-sample z -test. The first part of the activity is a recap of hypothesis testing and z -tests in particular. The students then explore how P-values change when multiple settings of a z -test (such as the sample size) change. The third part of the activity prompts students to generate multiple P-values using an interactive resource and plot their histogram. During the final part of the activity, students use another interactive resource to generate thousands of P-values and relate their distribution with the significance level and the probability of a Type I error.