Violent Crime and Age Group The newly appointed head of the state mental health agency claims that a smaller proportion of the crimes committed by persons younger than 21 years of age are violent crimes (when compared to the crimes committed by persons 21 years of age or older). Of 2750 randomly selected arrests of criminals younger than 21 years of age, 4.25% involve violent crimes. Of 2200 randomly selected arrests of criminals 21 years of age or older, 4.55% involve violent crimes

(based on data from the Uniform Crime Reports). Construct a 95% confidence interval for the difference between the two proportions of violent crimes. Does the confidence interval indicate that there isn’t a significant difference between the two rates of violent crimes?