A researcher wants to compare two methods ( Method A and Method B) for treating cancer. She believes Method A is worse (has lower survival rates) . She selects a sample of patients and randomly assign half to get treated by Meath of A and half Method B. After five years, she determines the proportion surviving in each group. 42 patients were treated using method A and after 5 years 29 of them were still alive. 42 patients were treated using Method B and after 5 years 36 of them were still alive. Use a 0.05 level of significance. Define difference as PA-PB. Use this information to answer these questions. 1 .what is the value of test statistic for this test? 2. What is the p-value for this test? 3. Are the requirements for this test met? A. Yes, since the sample size in both groups is greater than 30 B. Yes since a histogram of the sample data appears normal. C. Yes since np>10 and n(1-p)>10 are true for both groups D. No since we don't know the population proportion for each group E. No because the requirement np > 10 and n(1-p) > 10 is Not true for both groups. Note- the "P" represents p hat and the > has _ under