Hypothesis Testing with Two Samples

Summary :

This chapter uses the example of comparing breakfast habits east and west of the Mississippi River to introduce hypothesis testing across two groups. It covers classifying hypothesis tests by type, testing two population means with both known and unknown standard deviations, testing two population proportions, and handling matched or paired samples.

Classifying two-sample hypothesis tests

The chapter opens by teaching students to classify hypothesis tests by type, since comparing two groups requires first identifying whether the groups are independent or matched, and whether the comparison concerns means or proportions, before the correct testing procedure can be chosen.

Testing two population means

Students learn to conduct and interpret hypothesis tests for two population means both when the population standard deviations are known and when they are unknown, mirroring the one-sample case from the previous chapter but now comparing two groups directly, such as breakfast habits in different regions.

Testing proportions and matched pairs

The chapter also covers conducting and interpreting hypothesis tests for two population proportions and for matched or paired samples, where the same subjects are measured under two different conditions, requiring a method that accounts for the dependence between the paired observations rather than treating them as two independent groups.