You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H 0 : p A = 0.3 ; p B = 0.5 ; p C = 0.1 ; p D = 0.1 a) Complete the table below. Give all answers in the table as decimals rounded to4 places after the decimal point, if necessary. Category Observed Frequency Expected Relative Frequency Expected Frequency Residual A 57 B 62 C 14 D 27 b) What is the chi-square test-statistic for this data? Round your answer to 3 decimal places. Test Statistic: 2 = c) For a significance of level alpha = 0.05, what is the chi-square critical value? Critical Value: 2 = d) What would be the decision of this hypothesis test? Fail to reject the Null Hypothesis Reject the Null Hypothesis