**Multinomial Hypothesis Test**You are conducting a multinomial hypothesis test to examine the claim that the four categories occur with the following frequencies:\[ H_0: p_A = 0.25; \, p_B = 0.25; \, p_C = 0.1; \, p_D = 0.4 \]**Table Completion**Complete the table below using the observed frequencies provided for each category.| Category | Observed Frequency | Expected Frequency | Squared Residual ||----------|---------------------|---------------------|-------------------|| A | 39 | | || B | 13 | | || C | 16 | | || D | 25 | | |**Chi-Square Calculation**Calculate the chi-square test statistic for this data:\[ \chi^2 = \]Complete the table by finding the expected frequencies and squared residuals for each category based on the given proportions, and compute the chi-square statistic to test the hypothesis.

From the given information, Observed Frequency Proportion Expected frequency…

Answered: You are conducting a multinomial…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H.: PA = 0.25; pB = 0.25; pc = 0.1; pp: = 0.4 %3D Complete the table. Observed Expected Squared