Tutorial 4 For the Seat Belt Data, the Death Penalty Data, and the University Admission Data, (1). Identify the response variable and the explanatory variable, and construct 95% and 99% confidence intervals for each proportion p1 and p2. (2). Construct the 95% and 99% CI for the difference between the two proportions. (3). Test the hypothesis of independence against an “appropriate” alternative hypothesis. (4). Estimate the odds-ratio, find its standard error and construct 95% and 99% CIs. 2. For the Vitamin C data and the Death Penalty data, compare the values of the three z-statistics based on the ordinary difference, the odds-ratio and the log-odds-ratio respectively for testing the hypothesis of independence. Do they lead to different conclusions? (Direct computation of the z 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 ordinary z-statistic for testing independence (i.e the one based on the ordinary difference) may be written as 1/18/2019 SA3202, Tutorial 4