Observed Values Context: As part of their on-going equity work, course designers want to determine if Ethnicity Group \\ Result Fail Pass Grand Total there is a success gap between students of different ethnicity groups in their writing group A 61 28 89 course. The contingency table to the left shows the results for a standardized group B 109 81 190 writing test. Students have been categorized by what ethnicity group they identified group C 167 152 319 as and whether they received a passing grade on the exam. Use a Chi-Squared group D 119 143 262 independence test at the 0.05 significance level to determine if there is a group E 55 85 140 Grand Total 511 489 1000 Part a: Compute the expected values in a table below the observed values. Part b: Perform the necessary steps to compute the test statistic. Put this below the expected value table. Part c: Use the table below to select the correct critical value. df Xo.10 Xo.05 Xo.025 Xo.01 Xo.005 . . 3 6.251 7.815 9.348 11.345 12.838 4 7.779 9.488 11.143 13.277 14.860 5 9.236 11.070 12.833 15.086 16.750 10.645 12.592 14.449 16.812 18.548 12.017 14.067 16.013 18.475 20.278 13.362 15.507 17.535 20.090 21.955 Critical Value Part d: Write an appropriate conclusion