1. Consider this hypothesis test:H0: p1- p2= 0Ha: p1- p2< 0Here p1is the population mean of Population 1 and p2is the population proportion of Population 2. Use the statistics summarized from a simple random sample of each of the two populations to complete the following: (12 points)Population 1Population 2Sample Size ( n)200250Sample proportion (pbar)0.650.701.a.What is the pooled estimate of p?b.Compute the test statistic z.c.What is the rejection rule using the critical value approach and α = 0.05?d.Based on the rejection rule from c., what is your conclusion on the hypothesis?e.What is the p-value?f.Use the above data to construct a 95% confidence interval for p1- p22.Partial responses from an employee satisfaction survey for two regions of a mid-size IT firm were recorded in the attached BUSI1013-Two Sample Proportions.xlsxfile. These responses are a simple random sample of employee answers from the two regions to the question: Are you planning to stay with the company one year from now (Yes or No)? The firm wants to use this data to test the research (alternative) hypothesis that