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Test of Independence Section 12.2 (cont) Independent Knowledge of one value does not provide information about another. Very similar to Test of Homogeneity Same test statistic Same way to figure the expected value Same way to find the degrees of freedom Same way of putting it in the matrices and using the calculator. Differences H o : the 2 variables are independent H A : the 2 variables are not independent State in context of the problem Assumptions Random samples Cells 5 A sociologist wishes to see whether the number of years of college a person has completed is related to his or her place of residence. A random sample of 70 people is selected and classified as shown. Using a 5% significance level, can the sociologist conclude that the years of college education are dependent on the person’s location? No College 4 yr deg Advanced Urban 15 12 8 Suburban 8 15 9 Rural 6 8 7 A researcher wishes to determine whether there is a relationship between the gender of an individual and the amount of alcohol consumed. Use α = 0.01 Low Moderate High Male 10 9 8 Female 13 16 12 Survey Questions Each Group is to make a survey question that will generate data for each type of Chi-square Test. Homework Page 659 (20, 24, 25, 30, 32) Test for Homogeneity are mixed in with test of independence!