Year 12/AS Statistics Chapter 7.1 (Hypothesis Testing)

This video introduces the concept of Hypothesis Testing. We take a careful, detailed look at two cases (an experiment and a sample) and talk through the logic ideas behind hypothesis testing, introducing some important definitions and key terms as we go.

This lesson is meant as preparation for Exercise 7A, page 100 of the Pearson Edexcel Statistics & Mechanics Year 1/AS Textbook (ISBN-10: 1292232536)

Introduction: 00:00

Solution to Warm-Up Q1: 0:58
Solution to Warm-Up Q2: 2:14
Solution to Warm-Up Q3: 4:23
Solution to Warm-Up Q4: 5:48

Hypothesis Testing - Introduction: 8:49
Some key terms and definitions: 11:17
Designing an EXPERIMENT to test a hypothesis: 13:00
Taking a SAMPLE to test a hypothesis: 14:35
Introduction to the Null Hypothesis (H₀) and the Alternative Hypothesis (H₁): 16:36
Introduction to Significance Levels in context: 21:09
Illustrative Example 1: Hypothesis Test for an experiment (coin): 23:11
Illustrative Example 2: Hypothesis Test for a sample (opinion poll): 34:46
Link between Critical Region and the Actual Significance Level: 41:17

Summary of the two cases shown (coin and opinion poll): 42:59
Suggested Exercises: 45:02

[MrBaileyMaths]

Timestamps for tablets and smartphones:


Solution to Warm-Up Q1: 0:58
Solution to Warm-Up Q2: 2:14
Solution to Warm-Up Q3: 4:23
Solution to Warm-Up Q4: 5:48

Hypothesis Testing - Introduction: 8:49
Some key terms and definitions: 11:17
Designing an EXPERIMENT to test a hypothesis: 13:00
Taking a SAMPLE to test a hypothesis: 14:35
Introduction to the Null Hypothesis (H0) and the Alternative Hypothesis (H1): 16:36
Introduction to Significance Levels in context: 21:09
Illustrative Example 1: Hypothesis Test for an experiment (coin): 23:11
Illustrative Example 2: Hypothesis Test for a sample (opinion poll): 34:46
Link between Critical Region and the Actual Significance Level: 41:17

Summary of the two cases shown (coin and opinion poll): 42:59
Suggested Exercises: 45:02