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...


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
109501297338814556757115106412681

Runaways
630280282520167427184329358690781547483422426


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.














CityAbuse Cases
Rankx
Runaways
Ranky

d =x -y

d
2




Jun 08, 2022
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