In British Board of Trade made an inquiry into the demographics of those who did or did not survive the Titanic sinking. For each person on board the maiden voyage of the ocean liner, this dataset records gender (0=female, 1=male), age (0=child, 1=adult), economic status (1=first, 2= second, 3=third), and whether or not that person survived (this is the outcome variable: 0=no, 1= yes). The dataset is: where entries in the table have the form mij/nij where mij is the number who survived and nij is the number on board the ship: Females Males Class Children Adults Class Children Adults First 1/1 139/144 First 5/5 57/175 Second 13/13 80/93 Second 11/11 14/168 Third 14/31 70/165 Third 13/48 75/462 1) I fit a logistic Model with Gender as a covariate. Use the output below to answer questions (a) - (c). Estimate Std. Error Z value Pr(>|z|) (Intercept) 0.9686 0.1059 9.15 0.0000 Male -2.3462 0.1355 -17.31 0.0000 (a) What are the proposed and fitted logistic regression model corresponding to the output? (b) What is the odds ratio of survival for males compared to females (hint: female is not shown in the table, it is the reference group)? (c) What is the probability