Tutorial 5 Use the Complete University Admission Data ( Dataset 17) to compare the admission rates for men and women within each department (e.g. By computing the odds-ratio for each department). Are the results consistent with the previous results (for the whole university)? If not, how do you explain the (apparent) inconsistency? Do a similar analysis for the Death Penalty data, using the Complete Death Penalty Data (Dataset 16). In what cases, you can’t use the Chi-squared test for testing the hypothesis of independence?Give one or two examples using the datasets that are available to you. (Direct computation of the chi-square statistic for a 2x2 table) For a 2x2 table with entries a,b, c and d, Response Group 1 Group 2 Positive a b Negative c d Show that the value of the chi-square statistic for testing independence reduces to the following formula That is where Z is the ordinary z-statistic (See Tutorial 4, Problem 3). 1/18/2019 SA3202, Tutorial 5