This page discusses the distinction between goodness-of-fit tests and tests for homogeneity, focusing on the latter's use of χ^2 statistics to compare population distributions, requiring a minimum exp...This page discusses the distinction between goodness-of-fit tests and tests for homogeneity, focusing on the latter's use of χ^2 statistics to compare population distributions, requiring a minimum expected value of five. It provides a case study on male and female college students' living arrangements showing differing distributions and includes exercises about car distributions among different demographics and applications to Ivy League schools.