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REVIEW QUESTIONS 19.9 Randomly selected records of 140 convicted criminals reveal that their crimes were committed on the fol
383 REVIEW QUESTIONS (a) Using the .01 level of significance, test the null hypothesis that in the underlying population, cri
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Answer #1

Ho: distribution is same
Ha: distribution is different

observed frequencey, O expected proportion expected frequency,E (O-E) (O-E)²/E
17 0.143 20.00 -3.00 0.450
21 0.143 20.00 1.00 0.050
22 0.143 20.00 2.00 0.200
18 0.143 20.00 -2.00 0.200
23 0.143 20.00 3.00 0.450
24 0.143 20.000 4.00 0.800
15 0.143 20.000 -5.00 1.250

chi square test statistic,X² = Σ(O-E)²/E =   3.400                 
                      
level of significance, α=   0.01                  
Degree of freedom=k-1=   7   -   1   =   6  
                      
P value =   0.7572   [ excel function: =chisq.dist.rt(test-stat,df) ]              
Decision: P value >α , Do not reject Ho                      

............

Please let me know in case of any doubt.

Thanks in advance!


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