The state and local police departments are trying to analyze crime rates so they can shift their patrols from decreasing-rate areas to areas where rates are increasing. The city and county have been geographically segmented into areas containing 6,000 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 1,200 of the 6,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: MONTH CRIME INCIDENCE SAMPLE SIZE CRIME RATE January 7 1,200 0 February 9 1,200 0 March 7 1,200 0 April 7 1,200 0 May 7 1,200 0 June 9 1,200 0 July 7 1,200 0 August 10 1,200 0 September 7 1,200 0 October 11 1,200 0 November 12 1,200 0 December 9 1,200 0 Determine the P− , Sp, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). p Sp UCL LCL If the next three months show crime incidences in this area as January = 10 (out of 1,200 sampled) February = 12 (out of 1,200 sampled) March = 11 (out of 1,200 sampled) What comments can you make regarding the crime rate?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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The state and local police departments are trying to analyze crime rates so they can shift their patrols from decreasing-rate areas to areas where rates are increasing. The city and county have been geographically segmented into areas containing 6,000 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 1,200 of the 6,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area:

MONTH	CRIME INCIDENCE	SAMPLE SIZE	CRIME RATE
January	7	1,200	0
February	9	1,200	0
March	7	1,200	0
April	7	1,200	0
May	7	1,200	0
June	9	1,200	0
July	7	1,200	0
August	10	1,200	0
September	7	1,200	0
October	11	1,200	0
November	12	1,200	0
December	9	1,200	0

Determine the P− , S_p, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96).

UCL

LCL

If the next three months show crime incidences in this area as

January = 10 (out of 1,200 sampled)

February = 12 (out of 1,200 sampled)

March = 11 (out of 1,200 sampled)

What comments can you make regarding the crime rate?

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