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Mathematics, 30.07.2021 02:10 NetherisIsTheQueen

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 police recognize that not all crimes and offenses are reported: people do not want to become involved, consider the offenses too small to report, are too embarrassed to make a police report, or do not take the time, among other reasons. Every month, because of this, the police are contacting by phone a random sample of 800 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) The 800 sampled from each area showed the following incidence of crime during the past month: AREA NUMBER OF CRIMES SAMPLE SIZE CRIME RATE 1 12 800 0.01500 2 2 800 0.00250 3 17 800 0.02125 4 16 800 0.02000 5 12 800 0.01500 6 24 800 0.03000 7 15 800 0.01875 8 19 800 0.02375 9 10 800 0.01250 10 4 800 0.00500 11 16 800 0.02000 12 13 800 0.01625 13 10 800 0.01250 14 12 800 0.01500 15 14 800 0.01750 16 24 800 0.03000 17 5 800 0.00625 18 16 800 0.02000 19 7 800 0.00875 20 24 800 0.03000 272 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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