Some citizens complained to city council members that there should be equal prot

Question

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.

         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:

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.

         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:

Explanation / Answer

a)Sample size = n= 1000

Z = 1.96

P-bar = Total number of crimes/Total number of observation

= 300 / (1000x20)

= 300/20000

= 0.01500

Sp = sqrt of [P-bar(1-P-bar) /n]

= sqrt of [0.01500(1-0.01500)/1000]

= 0.00384

UCL = P-bar + (Z x Sp)

= 0.01500+(1.96x0. 00384)

= 0.01500+0.00753

= 0.02253

LCL = P-bar - (Z x Sp)

= 0.01500 - (1.96 x 0.00384)

= 0.01500 - 0.00753

= 0.00747

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.