The steps of a hypothesis test - for ANY hypothesis test - are always the same. This includes not only the z-test introduced in this chapter, but also all other types of hypothesis tests introduced in the chapters to come.
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In the chapters that follow, you’ll be introduced to several different formulas for hypothesis tests. Each of these formulas is designed for a different set of conditions (number of populations being studied, type of data collected, focus of the study, etc). This video explains when to use the z-test population of μ.
There are a few reasons someone would determine the value of a p-value:
- The p-value is an alternate method for deciding whether or not to reject Ho (as opposed to using a rejection region)
- The p-value tells you the exact probability of selecting a sample as rare as the one you have - given that the Ho is true (the rejection region does not do this)
- It will get you the mark you need when asked to 'calculate the p-value' :)
Calculating Beta (the probability of making a Type II error) is one of the most challenging problems you'll face on the final exam. In this video I'll run you through the many steps involved.
In this video I just solve the problem without all of the extra theory added in. This is exactly the set of steps you'll need to perform on your exam.
With a two tailed (=,≠) hypothesis test there are two rejection regions. This adds an extra step to finding Beta. I'll show you here how to handle this variation of a Type II error calculation here.
Test your understanding of Chapter 11: Introduction to Hypothesis Testing . Each question is accompanied by a mini-video lecture showing you how I decided which solution was the correct one.