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Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution with a sample of 82: Hy:ps=0.2; pp=0.1; pc =0.3; pp =04 Category | priclency | Freauency A 20 B 10 c 18 D 34 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. 2 X = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a = .02 significance level, what would be the decision of this hypothesis test? | Select an answer v e. What is the conclusion from the test? O There is sufficient evidence to conclude that the 4 categories occur with the specified distribution. O There is sufficient evidence to reject the claim that the 4 categories occur with the specified distribution. Question Help: []Video