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2. Inference on categorical data (G-O-F Tease) [5 points] Given the following set of data, answer the questions in the given order to test the hypothesis Outcome A B C D Observed 30 20 28 22 Expected 25 25 25 25 (0 - E)2/E Ho: PA = PB = Pc = PD = 1/14 H1: at least one proportion is different; a = 0.05 a) Complete the blank row above b) Compute the test statistic x . = c) Find the appropriate degrees of freedom: df = d) Find the critical value: X& = Table Viii e) Decide and write your conclusion using results from b and d. 2