Is there a relation between police protection and re protection? A random sample of large population areas gave the following information about the number of local police and the number of local firefighters (units in thousands)

(i) Rank-order police using 1 as the largest data value. Also rank-order firefighters 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 5% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of number of police and number of firefighters.
(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 23 45 6 78 9 10 11 12 13 Area Police Firefighters 5.5 2.4 4.5 1.6 7.0 7 5.1 1.3 12.6 2.1 3.1 0.6 11.1 6.6 8.5 4.2 3.5 2.8 5.9 7.9 2.9 18.0 9.7 7.4 1.8