Question

Consider the following contingency table that is based on a sample survey. Column 1 Column 2 Column 3 Row 1 136 90 83 Row 2 96 54 88 Row 3 125 75 110 a. Write the null and alternative hypotheses for a test of independence for this table. H 0 : Rows and columns are ; H 1 : Row and columns are . b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Column 1 Column 2 Column 3 Total Row 1 Row 2 Row 3 Total c. For α = 0.01 , find the critical value of χ 2 . Specify the rejection and nonrejection regions on the chi-square distribution curve. Enter the exact answer from the chi-square distribution table. χ 2 = The rejection region is of the critical value of χ 2 . The nonrejection region is of the critical value of χ 2 . d. Find the value of the test statistic χ 2 . Round your answer to three decimal places. The value of the test statistic χ 2 is . e. Using α = 0.01 , would you reject the null hypothesis?

Answer 1