Based on the following categorical data Cell 1 2 3/O_i 41 66 93 you are asked to

Question

Based on the following categorical data Cell 1 2 3/O_i 41 66 93 you are asked to test H_0: P_1 = 0.25, P_2 = 0.3, P_3 = 0.45. Find the observed value of the one-way x^2-test. 126 3.8415 2.6178 2.32 In some two-way contingency table problem, there arc r = 4 rows and c = 5 columns. We test H_0: The two classifications are independent against H_a: The two classifications are dependent at the alpha = 0.01 level. Find the rejection region for this test. X^2 > 18.5494 x^2 > 26.2170 x^2 > 36.1908 x^2 > 3.57056

Explanation / Answer

23)

hence option D ; 2.32

24)here degree of freedom =(r-1)*(c-1) =12 for which at 0.01 level critical value =26.217

hence option B

observed Expected Chi square Probability O E=total*p =(O-E)^2/E 1 0.25 41.00 50.00 1.62 2 0.30 66.00 60.00 0.60 3 0.45 93.00 90.00 0.10 200 200 2.3200

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