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The state and local police departments are trying to analyze crime rates so they can shift...

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 5,150 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 1,030 of the 5,150 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 10 1,030 0
February 12 1,030 0
March 10 1,030 0
April 10 1,030 0
May 10 1,030 0
June 12 1,030 0
July 10 1,030 0
August 13 1,030 0
September 12 1,030 0
October 13 1,030 0
November 11 1,030 0
December 11 1,030 0

a. Determine the P−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−P−
Sp
UCL
LCL

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

January = 10 (out of 1,030 sampled)

February = 12 (out of 1,030 sampled)

March = 11 (out of 1,030 sampled)

What comments can you make regarding the crime rate?

The process is in control.
The process is out of control.
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