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# Significance tests (hypothesis testing)

AP Stats: DAT (BI), DAT‑3 (EU), UNC (BI), UNC‑5 (EU), VAR (BI), VAR‑6 (EU)

AP Stats: VAR (BI), VAR‑6 (EU), VAR‑6.D (LO), VAR‑6.D.1 (EK), VAR‑6.D.2 (EK), VAR‑6.D.3 (EK), VAR‑6.D.4 (EK), VAR‑6.D.5 (EK), VAR‑6.G (LO), VAR‑6.G.4 (EK)

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Writing null and alternative hypothesesGet 3 of 4 questions to level up!

Estimating P-values from simulationsGet 3 of 4 questions to level up!

AP Stats: UNC (BI), UNC‑5 (EU), UNC‑5.A (LO), UNC‑5.A.1 (EK), UNC‑5.A.2 (EK), UNC‑5.B (LO), UNC‑5.B.1 (EK), UNC‑5.B.2 (EK), UNC‑5.B.3 (EK), UNC‑5.C (LO), UNC‑5.C.1 (EK), UNC‑5.D (LO), UNC‑5.D.1 (EK), UNC‑5.D.2 (EK)

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Type I vs Type II errorGet 3 of 4 questions to level up!

Error probabilities and powerGet 3 of 4 questions to level up!

AP Stats: DAT (BI), DAT‑3 (EU), DAT‑3.A (LO), DAT‑3.A.1 (EK), DAT‑3.A.2 (EK), DAT‑3.B (LO), DAT‑3.B.1 (EK), DAT‑3.B.2 (EK), DAT‑3.B.3 (EK), DAT‑3.B.4 (EK), DAT‑3.B.5 (EK), DAT‑3.B.8 (EK), DAT‑3.B.9 (EK), VAR (BI), VAR‑6 (EU), VAR‑6.D (LO), VAR‑6.D.1 (EK), VAR‑6.D.2 (EK), VAR‑6.D.3 (EK), VAR‑6.D.4 (EK), VAR‑6.D.5 (EK), VAR‑6.E (LO), VAR‑6.E.1 (EK), VAR‑6.F (LO), VAR‑6.F.1 (EK), VAR‑6.G (LO), VAR‑6.G.1 (EK), VAR‑6.G.2 (EK), VAR‑6.G.3 (EK), VAR‑6.G.4 (EK)

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Practice

Writing hypotheses for a test about a proportionGet 3 of 4 questions to level up!

Conditions for a z test about a proportionGet 3 of 4 questions to level up!

Calculating the test statistic in a z test for a proportionGet 3 of 4 questions to level up!

Calculating the P-value in a z test for a proportionGet 3 of 4 questions to level up!

Making conclusions in a z test for a proportionGet 3 of 4 questions to level up!

AP Stats: DAT (BI), DAT‑3 (EU), DAT‑3.F (LO), DAT‑3.F.1 (EK), DAT‑3.F.2 (EK)

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Practice

Writing hypotheses for a test about a meanGet 3 of 4 questions to level up!

Conditions for a t test about a meanGet 3 of 4 questions to level up!

Calculating the test statistic in a t test for a meanGet 3 of 4 questions to level up!

Calculating the P-value in a t test for a meanGet 3 of 4 questions to level up!

Making conclusions in a t test for a meanGet 3 of 4 questions to level up!

### About this unit

If a basketball player says they make 75% of the shots they take, but they only make 65% of shots in a sample, does that mean they're lying? Significance tests give us a formal process for using sample data to evaluate how plausible a claim about a population value is. We calculate P-values to see how likely sample results are to occur by random chance, and we use P-values to make conclusions about hypotheses.AP® is a registered trademark of the College Board, which has not reviewed this resource.