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    Equal protection under the law

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    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).

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    The solution discusses equal protection under the law.

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