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You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : PA

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You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : PA = 0.15: PB = 0.3; pc = 0.15: PD = 0.4 Complete the table. Report all answers accurate to three decimal places. Observed Category Expected Residual Frequency Frequency 23 18.65 2.422 44 33.3 3.438 C 13 16.65 O' 0.800 D 31 44.4 0.044 What is the chi-square test-statistic for this data? X = 10.7042 For significance level alpha 0.025, what is the chi-square Critical Value? Critical Value = What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis @ Reject the Null Hypothesis Report all answers accurate to three decimal places. Calculator

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