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.
In a fashion similar to problem 12, the city has been broken down into 20 geographic areas, each containing 5,000 residences. The 1,000 sampled from each area showed the following incidence of crime during the past month:
|
Area
|
Number of Crimes
|
Sample Size
|
Crime Rate
|
|
1
|
14
|
1,000
|
0.014
|
|
2
|
3
|
1,000
|
0.003
|
|
3
|
19
|
1,000
|
0.019
|
|
4
|
18
|
1,000
|
0.018
|
|
5
|
14
|
1,000
|
0.014
|
|
6
|
28
|
1,000
|
0.028
|
|
7
|
10
|
1,000
|
0.010
|
|
8
|
18
|
1,000
|
0.018
|
|
9
|
12
|
1,000
|
0.012
|
|
10
|
3
|
1,000
|
0.003
|
|
11
|
20
|
1,000
|
0.020
|
|
12
|
15
|
1,000
|
0.015
|
|
13
|
12
|
1,000
|
0.012
|
|
14
|
14
|
1,000
|
0.014
|
|
15
|
10
|
1,000
|
0.010
|
|
16
|
30
|
1,000
|
0.030
|
|
17
|
4
|
1,000
|
0.004
|
|
18
|
20
|
1,000
|
0.020
|
|
19
|
6
|
1,000
|
0.006
|
|
20
|
30
|
1,000
|
0.030
|
|
300
|
|
|
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).