A metropolitan law enforcement agency classifies crimes committed within its jur

Question

A metropolitan law enforcement agency classifies crimes committed within its jurisdiction as either 'violent" or "nonviolent." An investigation has been ordered to find out whether the type of crime (violent or nonviolent) depends on the age of the person who committed it. A sample of 100 crimes was selected at random from the police files. The results are cross-classified in the following contingency table. Follow the instructor step process to determine if there is a relationship between the age of the criminal and nature of the crime? Use the 0.05 level of significance. Classification of Crimes by Type and by Age of Person

Explanation / Answer

6) null hypothesis: age of the criminal and type of crime is independent

alternate hypothesis:age of the criminal and type of crime is dependent

critical value at 2 degree of freedom =5.991

applying chi square test:

as chi stat 4.0404 is less then critical value we can not reject null hypothesis that age of the criminal and type of crime is independent

Observed O <25 25-49 >50 Total violent 15 30 10 55 non violent 5 30 10 45 Total 20 60 20 100 Expected E=rowtotal*column total/grand total <25 25-49 >50 Total violent 11.000 33.000 11.000 55 non violent 9.000 27.000 9.000 45 Total 20 60 20 100 chi square =(O-E)^2/E <25 25-49 >50 Total violent 1.455 0.2727 0.0909 1.818 non violent 1.778 0.333 0.111 2.222 Total 3.232 0.606 0.202 4.0404

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