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 304 (76%) of the 402 small organizations have employee retention programs as compared to 160 (85%) of the 188 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 x, is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and x, is the population proportion of organizations with 10,000 or more employees with employee recognition programs. Choose the correct answer below. OB. Hg , OA Ho: =2 Hy: 2 OD. Hg =2 OC. Hg: =2 H: <2 H , 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. the null hypothesis. There is V 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 meaning. The p-value in (a) is (Round to three decimal places as needed.)
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 304 (76%) of the 402 small organizations have employee retention programs as compared to 160 (85%) of the 188 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 x, is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and x, is the population proportion of organizations with 10,000 or more employees with employee recognition programs. Choose the correct answer below. OB. Hg , OA Ho: =2 Hy: 2 OD. Hg =2 OC. Hg: =2 H: <2 H , 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. the null hypothesis. There is V 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 meaning. The p-value in (a) is (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:What does the p-value mean?
The probability of obtaining a difference in proportions that gives rise to a test statistic
V the
V 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 <n, - 12 5:
(Round to three decimal places as needed.)
What does the confidence interval mean?
A researcher can be
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
the confidence interval.
Transcribed Image Text: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 304 (76%) of the 402 small organizations have employee retention programs as compared to 160 (85%) of the 188 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 n, is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and 1, is the population proportion of organizations with 10,000 or more employees with employee recognition
programs. Choose the correct answer below.
O A. Ho: = 1Tz
H: Tq # T2
O B. Ho: I1 # T2
H,: Iq =2
OC. Ho: Iy = T2
O D. Ho: T1 = T2
H: 11 > 12
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.
V the null hypothesis. There is
V 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
(Round to three decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman