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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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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