Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: 0.25: PB= 0.25; pc = 0.4; pp = 0.1 Ho: PA Category Observed Expected Frequency Frequency 22.5 A 28 22.5 B 13 C 29 D 20 20 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. c. What is the p-value? Round to four decimal places. p-value- d. Testing the claim at a a=0.025 significance level, what would be the conclusion of this hypothesis test? Reject the Null Hypothesis. O Fail to reject the Null Hypothesis.