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An experiment with K = 3 categories and n = 200 produced the data shown in the following able . We are interested in the

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An experiment with K = 3 categories and n = 200 produced the data shown in the following able . We are interested in the null hypothesis that py = 0.25 02 = 0.25 and p3 = 0.50 against the alternate hypothesis that the proportions are different than specified in the null hypothesis . We get the following data for testing this hypothesis Cell 60 180 What is the critical value to reject the null at alpha = 0.01 6.635 -9210 11. 345 -13.277Cell 60 60 180 Would you reject the null hypothesis at a significance level of 0.01 and 0.025 yes at 0 01 , no at 0 02 no at 0 01 yes at 0.02 yes at both 0 01 and 0.025 no at both 0 01 and 0 025

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