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
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BUSI1013_Unit 9 2 1. Consider this hypothesis test: 1. a. What is the pooled estimate of p? n 1 ^ p 1 + n 2 ^ p 2 n 1 + n 2 ¿ ( 200 ) ( 0.65 ) + ( 250 ) ( 0.70 ) ( 200 + 250 ) ¿ 130 + 175 450 ¿ 0.6 ´ 7 b. Compute the test statistic z. z = ´ p p 0 p 0 ( 1 p 0 ) n ¿ 0.65 0.70 0.67 ( 1 0.67 ) ( 1 200 + 1 250 ) ¿ 1.127787671 ¿ 1.13 c. What is the rejection rule using the critical value approach and α = 0.05? α = 0.05, using ztable =− 1.64 Reject H 0 if z≤ 1.64 d. Based on the rejection rule from c., what is your conclusion on the hypothesis? I will not reject the null hypothesis because Z is greater than - Z α
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BUSI1013_Unit 9 3 e. What is the p-value? p-value (-1.13) = 0.1292 f. Use the above data to construct a 95% confidence interval for p 1 - p 2 ^ p 1 ^ p 2 ±z α / 2 ^ p 1 ( 1 ^ p 1 ) n 1 + ^ p 2 ( 1 ^ p 2 ) n 2 ¿ ( 0.65 0.7 ) ± 1.96 0.65 ( 1 0.65 ) 200 + 0.7 ( 1 0.7 ) 250 ¿ 0.13716 , 0.037159 2. 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.xlsx file. 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. (
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