Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Но : РА — 0.25; рРв 0.1; Pc = 0.4; PD 0.25 Observed Expected Frequency Frequency Category A 30 В 12 48 D 26 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.005 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. O Reject the Null Hypothesis.

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