Statistics Hypothesis Tests Cheat Sheet
By Dr. Iris Vaughan, Mathematics Editor·Published 1 November 2025·Last reviewed 15 March 2026
Decision guide for which hypothesis test to use — z-test, t-test, chi-square, ANOVA — with conditions, test statistic formulas, and rejection rules.
Key Formulas
One-sample z: known σ, large n
One-sample t: unknown σ, any n
Two-sample t: comparing means
Chi-square goodness-of-fit: categorical
Chi-square independence: contingency table
ANOVA: ≥3 group means
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