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

(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.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Compute the sample test statistic.
(c) Find or estimate the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

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1 2 3 4 5 6 78 9 10 112 13 14 15 City Abuse cases 49 74 87 10 26 119 35 13 89 45 53 22 65 38 29 Runaways 382 510 581 163 210 791 275 153 491 351 402 209 410 312 210