This page discusses the χ2 test applied in three scenarios: 1) Goodness-of-Fit, assessing if a sample fits a known distribution; 2) Independence, evaluating the relationship between two qualitative va...This page discusses the χ2 test applied in three scenarios: 1) Goodness-of-Fit, assessing if a sample fits a known distribution; 2) Independence, evaluating the relationship between two qualitative variables; and 3) Homogeneity, determining if two populations share the same distribution. Each scenario has a null hypothesis positing a fit or independence, and an alternative hypothesis suggesting otherwise.
