One strategy that may have an impact on employeeretention, turnover and engagement is a successful employee recognition program. Surveying smallorganizations, those with 500 to2,499 employees, and largeorganizations, those with10,000 or moreemployees, a survey organization showed that 324 (78%) of the 415 small organizations have employee retention programs as compared to 154 (87%) of the 177 large organizations. Complete parts(a) through(c) below.

a. At the 0.05 level ofsignificance, is there evidence of a significant difference between organizations with 500 to2,499 employees and organizations with10,000 or more employees with respect to the proportion that have employee recognitionprograms?

Determine the null and alternativehypotheses, where 1 is the population proportion of organizations with 500 to2,499 employees with employee recognition programs and 2 is the population proportion of organizations with10,000 or more employees with employee recognition programs.

Determine the value of the test statistic.

B. The criticalvalue(s) is (Round to two decimal places as needed. Use a comma to separate answers asneeded.)

C. c. Construct and interpret a 95% confidence interval estimate for the difference between organizations with 500 to2,499 employees and organizations with10,000 or more employees with respect to the proportion that have employee recognition programs.