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Ch 13: Cambridge Pre-U Math Short Course: Hypothesis Testing

About This Chapter

Explore the definitions, steps and examples involved in hypothesis testing as you prepare to pass the Cambridge Pre-U Math Short Course examination. This chapter on the subject is presented in the form of animated online videos and text transcripts.

Cambridge Pre-U Math Short Course: Hypothesis Testing - Chapter Summary

Take this opportunity to learn more about hypothesis testing before you attempt to pass the Cambridge Pre-U Math Short Course test. Prior to taking the end-of-course exam, explore this chapter's video lessons in order to build your ability to develop a hypothesis and conduct hypothesis tests. Explore various sampling methods and determine their suitability for formulating a hypothesis as you work through each of the online lessons. This chapter could help you with:

  • Outlining the steps involved in hypothesis testing
  • Understanding hypothesis testing for a sample mean
  • Interpreting effect size
  • Noting the contrasts between Type I and II errors
  • Comparing hypothesis tests and confidence intervals
  • Conducting hypothesis testing for matched pairs, proportion, difference between two proportions, and large and small independent samples

Learn from experienced instructors as you get ready for the Cambridge Pre-U Math Short Course test. The short video lessons are completely viewable online. The timeline link under the video tab displays the main topics of the lessons and allows you to access them with just a click. If you have questions about any of the chapter's topics, submit them for clarification and receive expert assistance. Transcripts are included, and they have several bold terms that represent key lesson topics.

Cambridge Pre-U Math Short Course: Hypothesis Testing Chapter Objectives

The final exam for the Cambridge Pre-U Math Short Course is divided into two sections. The equivalent of 45% of the assessment score and comprised of 65 questions, Paper 1 is called Pure Mathematics. There's a one-hour-and-45-minute time limit on this section. After moving to Paper 2, Statistics, you'll have two hours to finish its 80 questions. The component is equal to 55% of the overall assessment score. In part, questions on the Statistics section will require your familiarity with terms such as significance level, null hypothesis, test statistic, acceptance region and alternative hypothesis. Prepare for these questions with the engaging videos and self-assessment quizzes in this chapter.

10 Lessons in Chapter 13: Cambridge Pre-U Math Short Course: Hypothesis Testing
Test your knowledge with a 30-question chapter practice test
What is Hypothesis Testing? - Definition, Steps & Examples

1. What is Hypothesis Testing? - Definition, Steps & Examples

A proper hypothesis test consists of four steps. After watching this video lesson, you'll understand how to create a hypothesis test to help you confirm or disprove an assumption.

Conducting Hypothesis Testing for a Mean: Process & Examples

2. Conducting Hypothesis Testing for a Mean: Process & Examples

Read this lesson to learn how you can use hypothesis testing to test for a mean. Learn what conditions need to be met before you can use hypothesis testing to find the average for the test subject.

Effect Size in Hypothesis Testing: Definition & Interpretation

3. Effect Size in Hypothesis Testing: Definition & Interpretation

Watch this video lesson to learn what effect size is when used in hypothesis testing. Also learn what significance it has in your testing. Learn how your data affects the effect size.

Type I & Type II Errors in Hypothesis Testing: Differences & Examples

4. Type I & Type II Errors in Hypothesis Testing: Differences & Examples

Watch this video lesson to learn about the two possible errors that you can make when performing hypothesis testing. You will see how important it is to really understand what these errors mean for your results.

The Relationship Between Confidence Intervals & Hypothesis Tests

5. The Relationship Between Confidence Intervals & Hypothesis Tests

Quantifying population information by testing a small sample is a marvelous mathematical invention. In this lesson, we explore the relationship between confidence intervals and hypothesis tests.

Hypothesis Testing Large Independent Samples

6. Hypothesis Testing Large Independent Samples

In this lesson, you're going to learn about hypothesis testing of large independent samples. You'll learn about the assumptions in such a hypothesis test, and we'll work through an example together.

What Are t-Tests? - Assessing Statistical Differences Between Groups

7. What Are t-Tests? - Assessing Statistical Differences Between Groups

This lesson explores how a researcher may use a t-Test. In addition, simple to follow instructions will demonstrate how to manually complete a t-Test.

Hypothesis Testing Matched Pairs

8. Hypothesis Testing Matched Pairs

Sometimes, data sets come paired. What does this actually mean, though? This lesson explains what matched pairs are and goes over an example of how hypothesis testing applies to them.

Hypothesis Testing for a Proportion

9. Hypothesis Testing for a Proportion

Data sets can be mutually exclusive. What that means is that the population will either be or answer one thing or another. In this lesson, we'll explore how hypothesis testing is applied in that situation.

Hypothesis Testing for a Difference Between Two Proportions

10. Hypothesis Testing for a Difference Between Two Proportions

Have you ever wondered if there's a difference between two proportions or if it just seems that way? Take for example, the proportion of college graduates who smoke vs. the proportion of college dropouts who smoke? You can test for this using hypothesis testing to discover if there's a real difference or not.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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