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 334 (76%) of the 441 small organizations have employee retention programs as compared to 148 (89%) of the 167 large organizations.

a. At the 0.1 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 has employee recognition programs? Determine the null and alternative hypotheses, where 1 is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and 2 is the population proportion of organizations with 10,000 or more employees with employee recognition programs.

H0: 1=2

H1: 12

H0: 1=2

H1: 1<2

H0: 12

H1: 1=2

H0: 1=2

H1: 1>2

Determine the value of the test statistic. ZSTAT = ____

(Round to two decimal places as needed.)

Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are) _____

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

State the conclusion.

(Reject, Do not reject, the null hypothesis) There is (sufficient, insufficient) 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 has employee recognition programs.

b. Find the p-value in (a) and interpret its meaning. The p-value in (a) is ____

.(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 less extreme than, equally extreme as, equal to or more extreme than, contained in the interval between) the (test statistic, sample difference, critical value(s) 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 90% 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 has employee recognition programs. The 90% confidence interval is __ 12 __

(Round to three decimal places as needed.)

What does the confidence interval mean?

A researcher can be (90%, 1%, 10%, 99%, 95%, 5%) confident that the difference in the proportion of organizations with 500 to 2,499 employees and organizations with 10,000 employees that have employee recognition programs is (greater than the upper limit of, less than the lower limit of, equal to the midpoint of, contained in) the confidence interval.