Statistical Hypothesis Testing: Free Course

About this course

A significance test asks how compatible observed evidence is with a specified null model. This course develops hypotheses, test statistics, P-values, errors and statistical power. Study the complete public source playlist from Khan Academy in English, with all 22 recordings in the on-site classroom. Original lesson titles, source order and repeated entries are preserved.

Course at a glance

What you’ll learn

• Write null and alternative hypotheses in context.
• Select and check a proportion or mean test.
• Interpret P-values and significance decisions.
• Explain Type I errors, Type II errors and power.

Skills you’ll gain

• Hypothesis tests
• P-values
• Statistical power
• Inference conditions

Course Overview

Proportion and mean examples show how to write null and alternative hypotheses before calculating a z or t statistic. Tables, calculators and simulations provide different ways to obtain or estimate a P-value. The conclusion lessons connect that value with a chosen significance level while retaining the question's direction and context. Type I and Type II errors describe different mistakes, and power considers the chance of detecting a specified departure from the null. Conditions are checked separately for proportion and mean procedures. Keep a P-value distinct from the probability that a hypothesis is true, and distinguish statistical evidence from the size or practical importance of an effect.

How to study the course

• Videos 1–5: this part of the source list includes “When to use z or t statistics in significance tests” through “Constructing hypotheses for a significance test about a proportion”. Define the question and the observations. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 6–11: this part of the source list includes “Free response example: Significance test for a mean” through “Introduction to Type I and Type II errors”. Check the assumptions behind a method. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 12–16: this part of the source list includes “Comparing P-value from t statistic to significance level” through “Calculating a P-value given a z statistic”. Connect a calculation with a plain-language interpretation. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 17–22: this part of the source list includes “Making conclusions in a test about a proportion” through “Using a table to estimate P-value from t statistic”. Describe uncertainty and limits of a conclusion. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.

Who is this for?

This course suits students, analysts and readers who want to understand the specific statistical methods in the course. It also provides a recorded reference for revisiting a topic after an earlier lesson or study attempt. Choose examples appropriate to your background and allow time to work through the method instead of judging understanding only by how familiar the terminology sounds.

Before you start

Basic arithmetic and familiarity with tables and graphs are helpful. More advanced probability or inference topics assume the prerequisite methods shown in the recordings.

Put the lessons into practice

Prepare a fictional one-sample testing question and state the parameter, hypotheses and significance level. Check the conditions, calculate the test statistic and interpret the P-value under the null model. Write the conclusion without claiming that a hypothesis has been proved. Describe both possible error types in the language of your example.

This optional study activity is provided by WikiFree for independent practice. Keep your working notes and use the relevant classroom recording to check a step, definition or interpretation. It is not an instructor-marked assignment.

Certificate / Assessment

Watching the public videos and using WikiFree completion tracking does not award a certificate, academic credit, an examination voucher or instructor assessment. Use your practice output to review what you can explain and repeat independently. The recorded lessons provide study material; completion tracking records your progress through that material.

Frequently asked questions

Provider: Khan Academy. Videos play from the Khan Academy channel on YouTube.