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Problem 13-11 (Algo)
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 4,500 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 900 of the 4,500 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 SIZECRIME RATE
January 10 900 0
February 12 900 0
March 10 900 0
April 10 900 0
May 10 900 0
June 12 900 0
July 10 900 0
August 13 900 0
September 11 900 0
October 14 900 0
November 12 900 0
December 9 900 0
a. Determine P , Sp, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). (Round your answers to 5 decimal places.)
P?
Sp?
UCL?
LCL?
b. If the next three months show crime incidences in this area as
January = 10 (out of 900 sampled)
February = 12 (out of 900 sampled)
March = 11 (out of 900 sampled)
What comments can you make regarding the crime rate?
multiple choice
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