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c. Construct and interpret a 95% confidence interval estimate for the difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs. The 95% confidence interval is≤₁-₂. (Round to three decimal places as needed.)

c. Construct and interpret a 95% confidence interval estimate for the difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs. The 95% confidence interval is≤₁-₂. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 317 (77%) of the 410 small organizations have employee retention programs as compared to 148 (89%) of the 167 large organizations. Complete parts (a) through (c) below. The critical value(s) is (are) 1.96, -1.96. (Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. G Reject the null hypothesis. There is sufficient evidence to support the claim that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs. b. Find the p-value in (a) and interpret its meaning. The p-value in (a) is .001. (Round to three decimal places as needed.) What does the p-value mean? The probability of obtaining a difference in proportions that gives rise to a test statistic equal to or more extreme than the test statistic is equal to the p-value if there is no difference between the population proportions of organizations with 500-2,499 employees and organizations with 10,000 or more employees that have employee recognition programs. c. Construct and interpret a 95% confidence interval estimate for the difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs. The 95% confidence interval is ₁-₂ (Round to three decimal places as needed.)
Transcribed Image Text:One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 317 (77%) of the 410 small organizations have employee retention programs as compared to 148 (89%) of the 167 large organizations. Complete parts (a) through (c) below. The critical value(s) is (are) 1.96, -1.96. (Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. G Reject the null hypothesis. There is sufficient evidence to support the claim that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs. b. Find the p-value in (a) and interpret its meaning. The p-value in (a) is .001. (Round to three decimal places as needed.) What does the p-value mean? The probability of obtaining a difference in proportions that gives rise to a test statistic equal to or more extreme than the test statistic is equal to the p-value if there is no difference between the population proportions of organizations with 500-2,499 employees and organizations with 10,000 or more employees that have employee recognition programs. c. Construct and interpret a 95% confidence interval estimate for the difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs. The 95% confidence interval is ₁-₂ (Round to three decimal places as needed.)
Expert Solution
Step 1

Given that 

Sample sizes n1 =410 , n2=167

Sample proportion p1^=0.77 , p2^=0.89

 

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