BUSI1013_MARISSA LEBLANC_Exercise 9.docx - BUSI1013_Unit 9 1 Exercise 9 Marissa Leblanc BUSI 1013 Statistics for Business Albert Wong BUSI1013_Unit 9 2

# BUSI1013_MARISSA LEBLANC_Exercise 9.docx - BUSI1013_Unit 9...

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BUSI1013_Unit 9 1 Exercise # 9 Marissa Leblanc June 10, 2018 BUSI 1013 / Statistics for Business Albert Wong
BUSI1013_Unit 9 2 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? 7b.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?
BUSI1013_Unit 9 3 e.What is the p-value? f.Use the above data to construct a 95% confidence interval for p1- p2/2 2.Partial responses from an employee satisfaction survey for two regions of a mid-size IT firm wererecorded 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 the proportion of employees within the two regions who plan to stay with the company one year from now is not the same. The null hypothesis is that the proportion of employees within the two regions who plan to stay with the company one year from now is the same. (