Question

A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled.

Day. | Mon Tues Wed Thurs Fri

Absences | 37 15. 12. 23. 43

Answer 1

Ho: Absences occur on the different week days with the same frequencies
H1:Absences do not occur on the different week days with the same frequencies

observed frequencey, O	expected proportion	expected frequency,E			(O-E)²/E
37	0.200	26.00			4.654
15	0.200	26.00			4.654
12	0.200	26.00			7.538
23	0.200	26.00			0.346
43	0.200	26.00			11.115

chi square test statistic,X² = Σ(O-E)²/E =   28.308              
                  
level of significance, α=   0.05              
Degree of freedom=k-1=   5   -   1   =   4
                  
P value =   0.0000   [ excel function: =chisq.dist.rt(test-stat,df) ]          
Decision: P value < α, Reject Ho                  
                  
                  
Critical value =    9.4877   [ Excel function: =chisq.inv.rt(α,df) ]          

Conclusion: Absences do not occur on the different week days with the same frequencies

THANKS

revert back for doubt

please upvote