3. (40 points) The numbers below represent the survival times in years for two groups with a rare disease. The values with (+) are censored. Group 0 : 1.33+, 2.21, 2.80+, 3.92.5.44+, 9.99, 12.01, 12.07, 17.31, 28.65 Group 1 : 0.122+, 0.43, .64, 1.58, 2.02, 3.08, 3.62+, 4.33, 5.52+, 11.86. (a) Give the estimated 5-year survival probabilities, S1(5) and S2(5) based on these data along with the corresponding confidence intervals. (b) Estimate the median survival times for people in these two groups. (c) Test whether there is a difference in 5-year survival probability between these two groups.

(d) Formally test whether the overall survival curves differ between these two groups using two different tests.

(e) Produce a plot showing two survival curves and the corresponding test result (only one test result is needed here).

* please help with D and E we are using build in data from R (survival) as mentioned in the problem I need help with the R code and explanation