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Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations. Sample Selected From Population 1 Population 2 Population 3 Population 4 Row 1 39 62 99 88 Row 2 17 60 79 123 Row 3 40 62 76 77 a. Write the null and alternative hypotheses for a test of homogeneity for this table. Ho: The proportion in each row is the same for all four populations. H : The proportion in each row is not the same for all four populations. b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Population 1 Population 2 Population 3 Population 4 Total Row 1 i Row i i i 2 Row 3 i i i i
Question 3 of 4 < > -/1 III : Row 2 i 1 i i Row 3 i i i i Total i i 11 c. For a = 0.025, find the critical value of x2. Specify the rejection and nonrejection regions on the chi-square distribution curve. Enter the exact answer from the chi-square distribution table. x = i The rejection region is 4 of the critical value of x?. The nonrejection region is 4 of the critical value of x?. d. Find the value of the test statistic xạ. Round your answer to three decimal places. The value of the test statistic x? is i e. Using a = 0.025, would you reject the null hypothesis? 4 e Textbook and Media Assistance Used Save for Later Attempts: 0 of 3 used Submit Answer