Question: Refer to Problem. Explain why the hypothesis test in that problem is a test of homogeneity as opposed to a test of independence. What feature of the data would change if you were to collect data in order to test for independence?
Problem: A random sample of 100 persons was selected from each of four regions in the United States. These people were asked whether or not they support a certain farm subsidy program. The results of the survey are summarized in the following table.
Using the 1% significance level, test the null hypothesis that the percentages of people with different opinions are similar for all four regions.