Curbing street gang gun violence. Refer to the Journal of Quantitative Criminolo

Question

Curbing street gang gun violence. Refer to the Journal of Quantitative Criminology (Mar. 2014) study of a program designed to curb street gang gun violence. After implementation of Boston’s Operation Ceasefire program, the researchers examined 80 shootings by members of a particular Boston street gang over the next five years. Of these, only 18 involved shootings of non-gang members. Use a 99% confidence interval to estimate the true proportion of shootings by members of this Boston street gang that involved non-gang members. Interpret the result.

Shootings of Members 30 Shootings of Non-Gang Members Total Shootings Year 2006 2008 2010 Totals 37 30 4 80 62 18 Source Braga, A. A, Hureau, D. M., and Papachristos, A. V."Deterring gang- involved gun violence: Mcasuring the impact of Boston's Operation Ceasefire on street gang behavior." Journal of Quantitative Criminology, Vol. 30, No. 1, Mar. 2014 (adapted from Figure 3)

Explanation / Answer

Interpretation: above interval gives 99% confidence to contain true population proportion of  shootings by members of this Boston street gang that involved non-gang members

                                                                                           x                    =   18 sample size n                    = 80 sample proportion     p x/n= 0.2250 std error       =Se            =(p*(1-p)/n) = 0.0467 for 99 % CI value of z= 2.5758 margin of error E=z*std error                            = 0.1203 lower confidence bound=sample proportion-margin of error 0.1047 Upper confidence bound=sample proportion+margin of error 0.3453

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