You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : PA = 0.1; PB = 0.25; pc = 0.4; pp = 0.25 a) Complete the table. Report all answers accurate to four decimal places. Observed Category Expected Relative Expected Frequency Residual Frequency Frequency 0.1000 $ 0.2500 U 0.4000 0.2500 b) What is the chi-square test-statistic for this data? Round your answer to 3 decimal places. = 4.130 c) What is the p-value? Round your answer to 4 decimal places. P-Value = |0.2477 d) For significance level alpha 0.01, What would be the conclusion of this hypothesis test? Fail to reject the Null Hypothesis