In a business, the Chief Executive Officer wants to know if his workers are for or against mandatory vaccinations. A random sample of 200 workers was taken and the results are shown in the MINITAB output below   Expected counts are printed below observed counts                              Managers Team leaders Employees Total                                                                 17            22           15          Approve        21.330       17.820         14.850      54                                                                   34            25           14          Against        28.835       24.090         20.07

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

 

In a business, the Chief Executive Officer wants to know if his workers are for or against mandatory vaccinations. A random sample of 200 workers was taken and the results are shown in the MINITAB output below

 

Expected counts are printed below observed counts

                             Managers Team leaders Employees Total

                                                                17            22           15

         Approve        21.330       17.820         14.850      54

 

                                                                34            25           14

         Against        28.835       24.090         20.075      73

 

                                                                28            19           26

          No Opinion     28.835       24.090         20.075      73

 

 
   


          Total            79            66           55        200

 

                Chi-sq =  0.878992 +  0.980494 +  0.001515 +            

                                                         0.925168+ 0.034375 + 1.838387 +            

                                                         0.02418 + 1.075471 + 1.74874       =7.507306  

 

  1. Carefully define the null and alternative hypotheses of the χ2 test underlying the

                       generation of the above table.                                                                                       

     2.Using α = 10%, what is the conclusion of this test? Give reasons for your answer.  

    

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman