A union leader claims that absences on the different days of the week are equally likely. To test this​ claim, a company manager collects the data shown below. Use a 0.05 significance level to test the claim.                                     Day    Mon Tue Wed Thur Fri                           Absences      40            15 12 23 43   a. Before doing any​ calculations, do the data appear to support the union​ leader's claim? Why or why​ not?     A. ​No, absences on The and Wed are much larger than on other days   B. ​Yes, there are roughly the same number of absences on the different days of the week   C. ​Yes, more absences on Mon and Fri are normal   D. ​No, absences on Mon and Fri are much larger than on other days   b. State Upper H 0 .     A. At least one proportion is different than claimed   B. p Subscript Mon Baseline equals 1 divided by 4 comma p Subscript Tue Baseline equals 1 divided by 4 comma p Subscript Wed Baseline equals 1 divided by 6 comma p Subscript Thur Baseline equals 1 divided by 7 comma p Subscript Fri Baseline equals 1 divided by 5     C. p Subscript Mon Baseline equals p Subscript Tue Baseline equals p Subscript Wed Baseline equals p Subscript Thur Baseline equals p Subscript Fri Baseline equals 1 divided by 5     D. p Subscript Mon Baseline not equals p Subscript Tue Baseline not equals p Subscript Wed Baseline not equals p Subscript Thur Baseline not equals p Subscript Fri Baseline nbsp     c. Find the sum of the observed​ frequencies: nothing   ​(enter a whole​ number)   d. Calculate the expected frequency for each day nothing   ​(give 2 decimal​ places)   e. Calculate the test statistic. Which of these options is closest to its​ value?     A. chi squared equals 32.65     B. chi squared equals 31.90     C. chi squared equals 30.42     D. chi squared equals 27.37     f. State the value of the critical​ value: nothing   ​(give 3 decimal​ places)   g. State the technical conclusion.     A. Reject Upper H 0     B. Do not reject Upper H 0     h. State the final conclusion.     A. There is not sufficient sample evidence to support the claim.   B. The sample data support the claim.   C. There is sufficient evidence to warrant rejection of the claim.   D. There is not sufficient evidence to warrant rejection of the claim.   i. Does the union leader appear to be​ correct?     A. Yes   B. No

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
A union leader claims that absences on the different days of the week are equally likely. To test this​ claim, a company manager collects the data shown below. Use a 0.05 significance level to test the claim.
 
                                  Day    Mon Tue Wed Thur Fri  
                        Absences     
40
          
15 12 23 43  
a. Before doing any​ calculations, do the data appear to support the union​ leader's claim? Why or why​ not?
 
 
A.
​No, absences on The and Wed are much larger than on other days
 
B.
​Yes, there are roughly the same number of absences on the different days of the week
 
C.
​Yes, more absences on Mon and Fri are normal
 
D.
​No, absences on Mon and Fri are much larger than on other days
 
b. State
Upper H 0
.
 
 
A.
At least one proportion is different than claimed
 
B.
p Subscript Mon Baseline equals 1 divided by 4 comma p Subscript Tue Baseline equals 1 divided by 4 comma p Subscript Wed Baseline equals 1 divided by 6 comma p Subscript Thur Baseline equals 1 divided by 7 comma p Subscript Fri Baseline equals 1 divided by 5
 
 
C.
p Subscript Mon Baseline equals p Subscript Tue Baseline equals p Subscript Wed Baseline equals p Subscript Thur Baseline equals p Subscript Fri Baseline equals 1 divided by 5
 
 
D.
p Subscript Mon Baseline not equals p Subscript Tue Baseline not equals p Subscript Wed Baseline not equals p Subscript Thur Baseline not equals p Subscript Fri Baseline nbsp
 
 
c. Find the sum of the observed​ frequencies:
nothing
 
​(enter a whole​ number)
 
d. Calculate the expected frequency for each day
nothing
 
​(give 2 decimal​ places)
 
e. Calculate the test statistic. Which of these options is closest to its​ value?
 
 
A.
chi squared equals

32.65

 
 
B.
chi squared equals

31.90

 
 
C.
chi squared equals

30.42

 
 
D.
chi squared equals

27.37

 
 
f. State the value of the critical​ value:
nothing
 
​(give 3 decimal​ places)
 
g. State the technical conclusion.
 
 
A.
Reject Upper H 0
 
 
B.
Do not reject Upper H 0
 
 
h. State the final conclusion.
 
 
A.
There is not sufficient sample evidence to support the claim.
 
B.
The sample data support the claim.
 
C.
There is sufficient evidence to warrant rejection of the claim.
 
D.
There is not sufficient evidence to warrant rejection of the claim.
 
i. Does the union leader appear to be​ correct?
 
 
A.
Yes
 
B.
No
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Chi-squared Tests
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.
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