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1 A study yields a chisquare statistic value of 20 (X 2 = 20) What is the Pvalue of the test if a the study was a goodnessoffit test with n = 12 b the study was a test of independence between two categorical variables, the row variable with 3 values and the column variable with 4 values Answer: a n = 12 df = 12 1 = 11 0025 < P < 005 (Using the TI83/84: 2cdf (20,1000,11) = 0045) b r = 3, c = 4 df = (3 1)(4 1) = 6 00025 < P < 0005 (Using the TI83/84: 2 cdf(20,1000,6) = 00028) 2 4 The following data were collected while conducting a chisquare test for independence: Preference BRAND A BRAND B BRAND C
Male Female
16 18 (X) 22 30 15 28 2 What null and alternative hypotheses are being tested Answer: H0: Gender and Preference are independent (or: H0: Gender and Preference are not related) HA: Gender and Preference are not independent (HA: Gender and Preference are related) 3 What is the expected value of the cell marked with the X Answer: Identifying the marginals on the table we have 16 18 (X) 34 22 30 52 15 28 43 53 76 129 Since there are 34 values in the column with the X, we expect to find 34 of each row 129 total in the cells of the first column Hence, the expected value for the cell containing 34 X is (76) = 2003 129 4 How many degrees of freedom are involved in the test Answer: df = (2 1)(3 1) = 2

