A researcher wants to compare two methods (Method A and Method B) for treating cancer. She believes Method A is worse (h

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A researcher wants to compare two methods (Method A and MethodB) for treating cancer. She believes Method A is worse (has lowersurvival rates)She selects a sample of patients and rando assignhalf to get treated by method A and half to Method B. After fiveyears, she determines the proportion surviving in each group. 42patients were treated using Method A and, after 5 years, them werestill alive. 42 patients were treated using Method B and, after 5years, 36 of them we alive. Use a 0.05 level of significance .Define the difference as: P_{A} - P_{B} Use this information forthe three parts below.
Part 1: what is the value of the test statistic for thistest?
Part 2:what is the p-value for this test?
Part 3: Are the requirements for this test met?O Yes, since the sample size in both groups is greater than30O Yes, since a histogram of the sample data appears normalO Yes, since np > 10 and n(1 - p) > 10 are true for bothgroupsO No, because the requirement np > 10 and n(1 - p) > 10 isNOT true for both groupsO No, since we don't know the population proportion for eachgroup.