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#32 Is there a relation between police protection and fire protection? A random sample of large population...

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Statistics

#32

Is there a relation between police protection and fireprotection? A random sample of large population areas gave thefollowing information about the number of local police and thenumber of local fire-fighters (units in thousands). (Reference:Statistical Abstract of the United States.)

Area12345678910111213
Police10.813.317.016.37.63.25.315.42.74.74.16.15.6
Firefighters3.12.54.82.93.31.22.43.41.01.52.32.70.9

Use a 5% level of significance to test the claim that there is amonotone relationship (either way) between the ranks of number ofpolice and number of firefighters.

(a) Rank-order police using 1 as the largest data value. Alsorank-order firefighters using 1 as the largest data value. Thenconstruct a table of ranks to be used for a Spearman rankcorrelation test.

AreaPolice
Rank x		Firefighters
Rank y		d = x -yd2
1
2
3
4
5
6
7
8
9
10
11
12
13




















































Σd2 =

(c) Compute the sample test statistic. (Use 3 decimalplaces.)

Answer & Explanation Solved by verified expert
3.7 Ratings (402 Votes)
a H0 there is no monotone relationship either way betweenthe ranks of number of police and    See Answer
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