Significance tests (hypothesis testing)

Statistics - What Is Hypothesis Testing?

This video introduces hypothesis testing using a free throw example. It explains how sample data helps determine if a population claim is believable or should be rejected.

Statistics - Null and Alternative Hypotheses

Learn how to set up null and alternative hypotheses in statistics. Covers the difference between H₀ and Hₐ, with examples using proportions and means.

Statistics - P-Values and Significance Levels

Learn what p-values and significance levels mean in statistics, and how to use them to decide whether to reject the null hypothesis in hypothesis testing.

Statistics - Simple Hypothesis Testing: Calculating the Probability

This video explains hypothesis testing using a coin flip example, calculating the probability of guessing 9 out of 10 flips correctly and determining statistical significance.

Statistics - Type I and Type II Errors

This video explains Type I and Type II errors in hypothesis testing. Type I is a false alarm (rejecting a true null hypothesis), while Type II is a missed finding (failing to reject a false one).

Statistics - Power of a Significance Test

This video explains statistical power: the probability a test correctly rejects a false null hypothesis. It covers how power relates to Type II error and factors that increase it.

Statistics - One-Tailed vs Two-Tailed Tests

Learn the difference between one-tailed and two-tailed hypothesis tests, how to choose between them, and how your alternative hypothesis determines the test direction.

Statistics - Setting Up a Z-Test for a Proportion

Learn how to perform a z-test for a proportion, including checking conditions and calculating the z-statistic using a coffee shop decaf example.

Statistics - Setting Up a T-Test for a Mean

Learn how to use a t-test to test claims about a population mean when the standard deviation is unknown. Covers conditions, formula, and degrees of freedom.

Statistics - Full T-Test for a Mean: Start to Finish

Learn how to conduct a one-sample t-test to determine if a coffee shop is underfilling cups, including hypothesis setup, calculations, and p-value interpretation.

Statistics - AP Free Response: Complete Significance Test

Learn the 5-step method to ace AP Statistics significance test questions: hypotheses, conditions, test statistic, p-value, and conclusion in context.