1. Investigate if there is an association between survival past 500 days and treatment group.(a) Create a variable that indicates whether each observation survived >= 500 days.(b)What are the two tests that could be used to answer this question? What are the null andalternative hypotheses for each test? When is each test appropriate?(c)Perform the chi-squared test to investigate if there is an association between survival past 500 daysand treatment group. Does one treatment group have a better outcome than the other? Write abrief paragraph to summarize your results. Your summary does not need to include a confidenceinterval, but it should include basic descriptive statistics.(d)Explain why the analysis performed is not sufficient to make definitive conclusions regarding theefficacy of the two treatment groups.