Question

Is there a relation between incidents of child abuse and number of runaway children? A random sample of 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	20	76	18	115	25	92	41	57	98	94	36	93	85	60	34
Runaways	180	604	293	553	327	419	370	409	543	644	385	557	371	309	402

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.

(a) 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.

City

Abuse Cases Rank x

Runaways Rank y

d = x - y

d2

(b) Compute the sample test statistic. (Use 3 decimal places.)

Answer 1

Hope u understand it.