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 311 (77%) of the 406 small organizations have employee retention programs as compared to 137 (89%) of the

154 large organizations. Complete parts (a) through (c) below.

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 have 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. Choose the correct answer below.

A. H0:1=2

H1:1>2

B.H0:1=2

H1:1<2

C.H0:1=2

H1:12

D.H0:12

H1:1=2

Determine the value of the test statistic.

ZSTAT

=

nothing

(Round to two decimal places as needed.)

Determine the critical value(s) for this test of hypothesis.

The critical value(s) is (are)

nothing

.

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

State the conclusion.

Do not reject

Reject

the null hypothesis. There is

insufficient

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

nothing

.

(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

contained in the interval between

equally extreme as

equal to or less extreme than

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 have employee recognition programs.

The

90% confidence interval is

nothing

12

nothing

.

(Round to three decimal places as needed.)

What does the confidence interval mean?

A researcher can be

90%

95%

99%

5%

10%

1%

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

equal to the midpoint of

less than the lower limit of

contained in

the confidence interval