FBI Report: Child Abuse and Runaway Children Is there a relation between incidents of child abuse and number of runaway children? A random sample of 15 cities (over 10,000 population) gave the following information about the number of reported incidents of child abuse and the number of runaway children

(Reference: Federal Bureau of Investigation, U.S.

Department of Justice).

City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Abuse cases 49 74 87 10 26 119 35 13 89 45 53 22 65 38 29 Run-

aways 382 510 581 163 210 791 275 153 491 351 402 209 410 312 210

(i) Rank-order abuse using 1 as the largest data value. Also rank-order runaways using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test.

(ii) Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of incidents of abuse and number of runaway children.

AppendixLO1