A researcher from UTM is interested in estimating p, the proportion of UTM students who are in favor of in-person classes in winter 2022. He divided the students into two strata: International and Domestic. The summaryr data are given in the following table. Population 5 pie Size Sample Proportion: In favor of Size in-person classes Domestic N1 = 10000 111 = 1000 :31 = 0.64 International N2 = 5000 n; = 500 2 = 0.52 [a] Find a point estimate for 31. Show all the steps. Circle the final answer. [13} Place a bound on the error of estimation found in part (a). Show all the steps. Circle the final answer. {c} Estimate the total number of UTM students who are in favor of in-person classes in winter 202 1. Place a bound on the error of this estimation. Hint: Use parts {a} and {b}. Show all the steps. Circle the nal answer. {d} Construct 95% condence interval for the true proportion of UTM Domestic students who are in favor of in-person classes in winter 2021. Show all the steps. Circle the nal