CRJU3610_Problem Set_1 Answer Key
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El Camino Community College District *
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CRIMINOLOG
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Mathematics
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Feb 20, 2024
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Uploaded by nijatsunami
Statistical Analysis in Criminal Justice
Problem Set # 1 – Due 5:00pm
Name__Answer Key_______________________________________________________________
Purpose
In these problems, you will:
Practice basic math and symbols
Demonstrate ability to identify and apply key research terms
Instructions
Please answer the following on this page or on additional paper if needed. You must show all of your work to receive full credit for your answers.
For any math problem, your final answer must be enclosed in a box.
Your homework must be completed independently, or it is considered academic dishonesty
Problems
1.
You are interested in knowing the number of times prosecutors lose cases in a month. You collect data and find the following: X
1
=2, X
2
=0, X
3
=3, X
4
=2, X
5
=4, X
6
=1, X
7
=5
a.
How many prosecutors are in the sample? 7
b.
What is the variable you are examining? # times lose cases
c.
How many times did the fourth prosecutor lose? 2
d.
Calculate ∑X = 2+0+3+2+4+1+5=17
2.
If a=1.2, b=4, and x=7. Find the following:
a. Y=a+x y=1.2+7
y=8.2
b.
z=(a + b
2
)
2
– x z=(1.2+4
2
)
2
-7
z=(1.2+16)
2
-7
z=(17.2)
2
-7
z=295.84-7
z=288.84
c.
Y+ Z(x-a)
8.2+288.84(7-1.2)
8.2+288.84(5.8)
8.2+1675.272
1683.472
3.
You are conducting a study examining whether individuals who experience strain are more likely than others to engage in domestic violence. What are the dependent and independent variables? What is
the unit of analysis?
IV=strain; DV=domestic violence perpetration; unit of analysis=individuals
4.
A criminologist conducts research on number of training hours police recruits have and their use of force in their first year on the job. What are the independent and dependent variables?
IV=# trainint hours; DV=use of force
5.
You believe that cities with larger populations will have a greater number of homeless people than smaller cities. What are the independent and dependent variables? What is the unit of analysis?
IV: population of city; DV: # homeless people; unit of analysis = cities
6. If the rape rate in Miami, Florida is 4.39, what does this mean? (in other words, interpret the value of 4.39)
For every 100,000 people in Miami, FL there are 4.39 rapes
7. If GSU’s student enrollment was 32,000 in 2010 and was 51,500 in 2019, what is the rate of change for student enrollment? Show all of your work! rate of change = (
Time
2
f
−
Time
1
f
Time
1
f
)
100
rate of change = (
51,500
−
32,000
32,000
)
100
rate of change = (
19,500
32,000
)
100
= 60.94%
8. In a class, there are 20 sophomores, 17 juniors, and 28 seniors. What percentage of students are juniors? What proportion of students are seniors?
First, calculate N = 20+17+28; N=65
Percentage juniors= (17/65)*100=26.15%
Proportion seniors = 28/65=.43
9. State a hypothesis of your own between two variables (related to criminal justice) that could be tested.
10. Using a governmental or non-profit website, find a statistic about the type of employment you hope to enter upon graduation that you find interesting. Provide the statistic and an appropriate reference and why you find it interesting. For example, I found out that about three fourths of tenured full professors at 4-year institutions of higher learning are male (Williams, 2016). I find this particularly interesting given that I am a tenured, full professor and female. I wonder if this sex difference will impact my ability to go into administration (e.g, become a Dean).
Williams, A. (2016). The uncertain path to full professor. Retrieved from
http://chronicle.com/article/The-Uncertain-Path-to-Full/235304
11. In a recent poll, people were asked questions about overhauling the criminal justice system. The study was done via telephone survey of 1,310 U.S. adults between June 11 and June 15, 2020. Results showed that 29% of
the sample believes the criminal justice system needs a complete overhaul and 40% said that it needed major changes. What is the sample? 1,310 adults living in U.S.
What is the population? All adults in the U.S. (who have telephones)
For the following identify the level of measurement (if unsure, please clarify your answer):
1. Years since first arrest
interval
2. Number of hours study for test
interval
3. Whether or not belong to a fraternity nominal
4. Amount of money spent in prison store in one month
interval
5. Percent of drug court participants who graduate
interval
6. Level of satisfaction with police in community (low, medium, high)
ordinal
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