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A metropolitan law enforcement agency daisies crimes committed within its jurisd

ID: 3234007 • Letter: A

Question

A metropolitan law enforcement agency daisies crimes committed within its jurisdictions 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 reported in Table 16-7. does it appear that there is any relationship between the age of a criminal and the nature of the crime? Use the 0.05 level of significance.

Explanation / Answer

at 0.05 level and 2 degree of freedom critical value of chi square =5.991

as chi stat 4.0404 is lower then critical value we can not claim that there is any relationship between the age of a criminal and the nature of crime

Observed O under 25 25 to 50 50 and over Total violent 15 30 10 55 non violent 5 30 10 45 Total 20 60 20 100 Expected E=rowtotal*column total/grand total under 25 25 to 50 50 and over 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 under 25 25 to 50 50 and over 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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