Please refer to the attachment below. Please provide the necessary steps and results. Thank you

1* {Mozimum Likelihood Theory) Suppose we had nj- subjects randomlyr assigned to one of the two treatment groups, j = 1 or 2, at the beginning of a study with a 5year followup. For each subject 1', we observed {Thdi}, with T:- = minU} and 5.- : HI; := 5}, where X; was the survival time [starting at the beginning of the study) for subject 1'. We would like to compare the survival probabilities at the end of study between the two groups with Hg: 31(5) 2 32(5). Suppose that both a; and n; are reasonably large. {1) Conduct a formal hypothesis test with minimum assumptions {i.e., no parametric assumptions}. _ {2) Given that the distribution of the survival time X,- for each group is lmown from an exponential distribution, conduct a formal hypothesis test on H0. {3} Comment on relative advantages and disadvantages of the two approaches in (1} and [2}. {at} If we'd like to test for treatment effect on the survival probability at year 5 after adjusting for a covariate 3;, describe how you would conduct the score test, 1Wald test and likelihood ratio test. {5) In the approach in {at}, if we do not have any covariate, comment on how the score test {no need to actually derive the test statistics} is related to your test in {1)