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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax