Question

The following table shows the mean number of police brutality complaints made to Louisiana State Police Internal Affairs per month before and after the institution of body cameras on police officers. Test the significance of the difference in the mean number of police brutality complaints made to Louisiana State Police Internal Affairs before and after the institution of body cameras on police officers (α=0.001). Show all details of the test.

Before Body Cameras 24, 15, 34, 9, 28, 44

After Body Cameras 24 20 18 29 8 24 38

Answer 1

X,: The number of police brutality complaints made to Lauisiana state police Internal Affairs per month before the institution of body cameras on police X2: The number of polic brutality complaints made to Luisiana state police Internal Affairs per month after institution of body cameras on police 2 -0.001 de difference = x - x2 d 4 X. 24 15 34 X2 20 18 29 -3 5 d- d 1.1667 -5.833 2 .1667 -1.8333 1.16667 3.1667 (d-a) 2 1.361.1 34.0278 4.6944 3.361) 1.3611 10.0248 54.8333 1 4 28 24 38 44 Total

J di - 17 J = 2.8933 d = 2.8333 sd = Eld- 2)2 = 54.8333 - 154.8333 sd = sd - 10.97 3.31.16 Ho: eldo vs Hilld to mean difference between X&Y. where eld is test statistic Eat Sdn = 2.8333 3.3116 No - 2.8333 3.116 /2.44949 = 2.8333 1.35195 = 2.096 = 2 * P/tori, & teas) = 2 * P( torig 32.096) = 2*[1- Plto-, or <2.096)] = 2 *[ 1-0.9549) 2 *[ 0.0451

P-value = 0.09021 Decision Here we Refect Ho if p-valve 2 = 0.001 pevale =0.ogo2 t = 0.001 failed to reject Ho Conclusion we may conclude that there is no significance difference in the mean number of polic brutality complaint made to Louisiana State police Internal Affairs before & after the institution of body cameras on police officers,