---
title: Hypothesis Testing
description: Hypothesis testing is a framework for determining if experimental results support a specific theory. Learners will understand how to set up null and alternative hypotheses, select appropriate statistical tests, and interpret p-values and confidence levels.
category: mathematics
subcategory: probability-theory
difficulty: beginner, intermediate, advanced
url: /subject/statistics-and-probability-hypothesis-testing
---

# Hypothesis Testing

Hypothesis testing is a framework for determining if experimental results support a specific theory. Learners will understand how to set up null and alternative hypotheses, select appropriate statistical tests, and interpret p-values and confidence levels.

## Available Resources

1 Videos • 4 Books • 1 Courses • 2 Websites

## Videos

### 1. StatQuest with Josh Starmer

StatQuest offers engaging and easy-to-understand video tutorials on various statistical and machine learning concepts. Josh Starmer's explanations are highly visual and intuitive, making complex topics like hypothesis testing, p-values, and different statistical tests accessible to beginners.

**Difficulty:** Beginner | **Language:** English | **Price:** Free

**Link:** https://www.youtube.com/@StatQuest

**Tags:** statistics, hypothesis-testing, p-values, statistical-tests, machine-learning

## Books

### 1. OpenIntro Statistics

**Author:** David Diez, Mine Çetinkaya-Rundel, Christopher Barr

OpenIntro Statistics is a widely acclaimed, free, and open-source textbook that provides a comprehensive introduction to statistics. It covers all fundamental concepts including descriptive statistics, probability, inference, and extensively details hypothesis testing with practical examples and clear explanations. It's often used in introductory college-level statistics courses.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://www.openintro.org/stat/textbook.php

**Tags:** statistics, hypothesis-testing, statistical-inference, probability, open-textbook

### 2. An Introduction to Statistical Learning

**Author:** Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani

Accessible introduction to statistical learning covering linear regression, classification, resampling, regularization, trees, and support vector machines, with R labs. Readers finish able to fit and evaluate standard predictive models without heavy theory.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/1461471370?tag=edmonddante07-20

**Tags:** books, technology-computer-science, data-science--ai

### 3. Hypothesis Testing

**Author:** Jim Frost

Statistician Jim Frost's plain-language guide covering t-tests, ANOVA, chi-square, proportion and nonparametric tests, p-values, confidence intervals, power and sample size, so readers can choose the right test for their data and interpret its results correctly.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/173543115X?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, statistics-and-probability

### 4. Introduction to the Practice of Statistics

**Author:** David S. Moore, George P. McCabe

A data-first undergraduate statistics textbook covering exploratory data analysis, sampling and experimental design, probability, and inference. Working through it, you can design a study, choose an appropriate test, and interpret confidence intervals and p-values correctly.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/071672250X?tag=edmonddante07-20

**Tags:** statistics, statistical-inference, hypothesis-testing, exploratory-data-analysis, experimental-design

## Websites

### 1. statisticshowto.com

Statistics How To is a practical statistics learning site that explains core concepts with clear, step-by-step tutorials and worked examples. It covers hypothesis testing (including p-values and test types) along with a wide range of other stats topics and handy calculators.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://statisticshowto.com

**Tags:** websites, mathematics-statistics, statistics-and-probability

### 2. stattrek.com

StatTrek is an online statistics resource that provides clear tutorials and explanations of probability and statistics. It also features free calculators for distributions, hypothesis tests, confidence intervals, and other statistical methods.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://stattrek.com

**Tags:** websites, science-research, scientific-method

## Courses

### 1. Fat Chance: Probability from the Ground Up

**Author:** Benedict Gross, Joseph Harris, Emily Riehl

A HarvardX introductory course that builds probability from counting principles: permutations, combinations, the binomial distribution, expected value, conditional probability, and the normal approximation. Learners develop the quantitative reasoning to calculate probabilities and assess risk in everyday and applied settings.

**Difficulty:** Beginner | **Language:** English | **Price:** Free

**Link:** https://www.edx.org/learn/probability/harvard-university-fat-chance-probability-from-the-ground-up

**Tags:** probability, combinatorics, expected-value, binomial-distribution

---

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