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Chapter 12: Hypothesis Tests – Large Samples
CHAPTER 12
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Hypothesis Tests
Large Samples
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You should study the topics in this chapter if you need to review
or want to learn about
Large-sample hypothesis tests for a single population proportion
Large-sample hypothesis tests for a single population mean
Large-sample hypothesis tests for the difference between two
population proportions
Large-sample hypothesis tests for the difference between two
population means
12-1 Introduction
Here we will focus on large sample hypothesis tests. A person may have an
opinion about a parameter. He or she may want to claim that the parameter
is greater than some given value or it may be smaller than some given value
or it may not be the same as the given value. Here we will be able to test
such assertions with specified levels of significance. Typically, we consider
10 percent, 5 percent, 2 percent, and 1 percent levels of significance, but any
other percentage can be considered. You will later study how these levels of
significance will give us an idea about the reliability of any decision made
about the opinion. In this chapter, we will consider large-sample hypothesis
tests for a single population proportion and mean, and for the difference
between two population proportions and means.
When we speak of large samples we imply that the Central Limit Theorem
for the particular situation applies. (Please refer to Chapter 10 for a review).