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Equal protection under the law

Some citizens complained to city council members that there should be equal protection under the law against the occurrence of crimes. The citizens argued that this equal protection should be interpreted as indicating that high-crime areas should have more police protection than low-crime areas. Therefore, police patrols and other methods for preventing crime (such as street lighting or cleaning up abandoned areas and buildings) should be used proportionately to crime occurrence.

The city has been broken down into 20 geographic areas, each containing 5,000 residences. The 1,000 sampled from each area showed the following incidence of crime during the past month:

Area #of crimes sample size crime rate
1 14 1000 0.014
2 3 1000 0.003
3 19 1000 0.019
4 18 1000 0.018
5 14 1000 0.014
6 28 1000 0.028
7 10 1000 0.010
8 18 1000 0.018
9 12 1000 0.012
10 3 1000 0.003
11 20 1000 0.020
12 15 1000 0.015
13 12 1000 0.012
14 14 1000 0.014
15 10 1000 0.010
16 30 1000 0.030
17 4 1000 0.004
18 20 1000 0.020
19 6 1000 0.006
20 30 1000 0.030
--------
300

Suggest a reallocation of crime protection effort, if indicated, based on a p chart analysis. To be reasonably certain in your recommendation, select a 95 percent confidence level (that is, Z = 1.96).

Solution Summary

The solution discusses equal protection under the law.

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