Please solve all parts

For all the tests in this homework assignment, the type I error is 5%. 1. In a survival analysis we are interested in studying if the treatment effects may be affected by gender. A proportional hazards model is tted with treatment (=1 the for new treatment and =0 for the standard treatment) and gender (=0 for females and =1 for males) as covariates, including the interaction. Reference coding with the level 0 as the reference level is applied to both factors. The parameter estimates are given in the following table: Parameter Estimate Standard Error gender 0.04328 0.12988 treatment 6.66091 0. 73266 gender*treatment 0. 79568 0.82733 (a) Compute treatment effect for both genders, i.e., the hazards ratio of the new treatment vs the standard treatment for females and males. (b) Compute the interaction effect, the ratio of the hazards ratio of the new treatment vs the standard treatment among females and hazards ratio of the new treatment and the standard treatment among males. (c) Compute the 95% condence interval for the interaction effect you computed in part b) and test if the interaction is signicant