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 that346(79%)of the 440 small organizations have employee retention programs as compared to 173 (88%) of the 196 large organizations. a. At the 0.01 level of significance, is there evidence of 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? a.Determine the null and alternative hypotheses, where π1 is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and π2 is the population proportion of organizations with 10,000 or more employees with employee recognition programs. b. Determine the value of the test statistic. Determine the critical value(s) for this test of hypothesis. State the conclusion. c.Find the p-value in (a) and interpret its meaning.
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 that346(79%)of the 440 small organizations have employee retention programs as compared to 173 (88%) of the 196 large organizations. a. At the 0.01 level of significance, is there evidence of 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? a.Determine the null and alternative hypotheses, where π1 is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and π2 is the population proportion of organizations with 10,000 or more employees with employee recognition programs. b. Determine the value of the test statistic. Determine the critical value(s) for this test of hypothesis. State the conclusion. c.Find the p-value in (a) and interpret its meaning.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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 that346(79%)of the 440 small organizations have employee retention programs as compared to 173 (88%) of the 196 large organizations.
a. At the
0.01
level of significance, is there evidence of 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?a.Determine the null and alternative hypotheses, where π1 is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and π2 is the population proportion of organizations with 10,000 or more employees with employee recognition programs.
b. Determine the value of the test statistic. Determine the critical value(s) for this test of hypothesis. State the conclusion.
c.Find the p-value in (a) and interpret its meaning.
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