Question

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 5,250 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 1,000 of the 5,250 residences for data on crime.
(Respondents are guaranteed anonymity.) Here are the data collected for the past 12 monthsfor one area:
Construct a p-chart for 95 percent confidence (1.96) and plot each of the months. If the next three months show crime incidences in this area as
January =10 (out of 1,000 sampled)
February = 1 2 (out of 1,000 sampled)
March = 11 (out of 1,000 sampled)
What comments can you make regarding the crime rate?

Answer 1

Answer:

= 0.008

Explanation:

Base on the scenario been described in the question , to develop a p-chart, first calculate as shown below:

P bar= total number of defective units from all samples /(number of samples ×sample size)

= 100/(12×1000)

= 100/12000

= 0.008

Thus, the p bar is 0.008