Objectives
Understand the definitions used in hypothesis testing.
State the null and alternative hypotheses.
Find critical values for the z test.
State the five steps used in hypothesis testing.
Test means for large samples using the z test.
Test means for small samples using the t test.
Objectives (cont'd.)
Test proportions using the z test.
Test variances or standard deviations using the chi square test.
Test hypotheses using confidence intervals.
Explain the relationship between type I and type II errors and the power of a test.
Introduction
Statistical hypothesis testing is a decision-making process for evaluating claims about a population.
In hypothesis testing, the researcher must define the population under study, state the particular hypotheses that will be investigated, give the significance level, select a sample from the population, collect the data, perform the calculations required for the statistical test, and reach a conclusion.
Hypothesis Testing
Hypotheses concerning parameters such as means and proportions can be investigated.
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Pierre-Simon, marquis de Laplace, one of the main ...The z test and the t test are used for hypothesis testing concerning means.
Methods to Test Hypotheses
The three methods used to test hypotheses are:
1. The traditional method.
2. The P-value method.
3. The confidence interval method.
Statement of a Hypothesis
A statistical hypothesis is a conjecture about a population parameter which may or may not be true.
There are two types of statistical hypotheses for each situation: the null hypothesis and the alternative hypothesis.
Hypotheses
The null hypothesis, symbolized by H0, is a statistical hypothesis that states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.
The alternative hypothesis, symbolized by H1, is a statistical hypothesis that states the existence of a difference between a parameter and a specific value, or states that there is a difference between...