Ch10 Elaboration Of Tabular Data And The Test Bank + Answers - Statistics for Criminology 1e | Test Bank Cooper by Jonathon A. Cooper. DOCX document preview.

Ch10 Elaboration Of Tabular Data And The Test Bank + Answers

Chapter 10: Elaboration of Tabular Data and the Nature of Causation

  1. What are the requirements to establish causality? Indicate the meaning of the terms. Also provide an example in which the requirement is absent.
    1. __________________________________
    2. __________________________________
    3. __________________________________
  2. Indicate whether in the following examples the IV is necessary, sufficient, both, or neither.
    1. The willingness to change is a _____________ cause of desistance.
    2. Driving under the influence of alcohol is a ______________ cause for arrest.
    3. Being born in the United States is a ________________ cause for U.S. citizenship.
    4. Being convicted for an offense is a ___________________ cause for a criminal record.
  3. To determine whether one variable (IV) is predicting another variable (DV) to a certain degree, statisticians make use of multivariate analyses and thus are introducing other variables (IVs) as so-called ________________ variables.
  4. Assume you are interested to find what variables influence the decision-making process of a police officer to arrest an individual after being stopped because of a traffic violation (0 = no arrest; 1 = arrest). First, you question whether race (0 = nonminority; 1 = minority) could have some influence on an officer’s decision to make an arrest. Then, you ask whether seriousness of the traffic offense influences the outcome of arrest (0 = minor; 1= severe). The hypothetical data (n = 35) are presented in the table below. You set your alpha level at 0.05.

Case

Arrest

Race

Seriousness

Case

Arrest

Race

Seriousness

1

1

0

1

19

0

0

0

2

0

0

0

20

0

0

0

3

0

0

0

21

1

0

1

4

1

1

0

22

0

1

0

5

0

1

0

23

0

0

0

6

1

1

1

24

0

0

1

7

0

0

0

25

1

1

1

8

0

0

1

26

1

0

0

9

0

1

0

27

1

1

1

10

0

0

0

28

0

0

0

11

1

1

1

29

0

0

0

12

0

0

0

30

0

1

0

13

0

0

0

31

0

0

1

14

1

1

0

32

1

1

0

15

1

0

1

33

0

0

0

16

0

0

0

35

0

0

0

17

0

0

0

35

0

0

1

18

0

1

0

    1. Organize your data in a table and then identify the IV and DV.
    2. State your null and alternative hypotheses.
    3. Compute the degrees of freedom.
    4. State your decision rule using the chi square table.
    5. Compute chi square (χ2).
    6. Make your decision and interpret your findings.
  1. You are wondering whether the relationship between being a minority and arrest remains statistically significant when taking the seriousness of the traffic violation into consideration. Compute chi square and phi. Compute chi square (minority, arrest) holding severity of traffic violation constant.
    1. Organize your data in tables and then identify the IVs and DVs.
    2. State your null and alternative hypotheses.
    3. Compute the degrees of freedom for each test.
    4. State your decision rule using the chi square table.
    5. Compute chi square (χ2).
    6. Make your decision and interpret your findings for each test.

Minority

Arrest after traffic stop

No

Yes

Total

No

A

19

B

5

24

Yes

C

4

D

7

11

Total

23

12

35

Minority

Arrest after traffic stop

No

Yes

Total

No

A

19

(82.6%)

B

5

(41.7%)

24

(68.6%)

Yes

C

4

(17.4%)

D

7

(58.3%)

11

(31.4%)

Total

23

(100%)

12

(100%)

35

(100%)

Cell

O

E

O – E

(O – E)2

(O – E)2/E

A

19

15.77

3.23

10.4329

0.661566

B

5

8.23

–3.23

10.4329

1.267667

C

4

7.23

–3.23

10.4329

1.443001

D

7

3.77

3.23

10.4329

2.767347

6.139582

Severity of violation

Arrest after traffic stop

Minor

Severe

Total

No

A

20

B

4

24

Yes

C

4

D

7

11

Total

24

11

35

Severity of violation

Arrest after traffic stop

Minor

Severe

Total

No

A

20 (83.3%)

B

4 (36.4%)

24 (68.6%)

Yes

C

4 (16.7%)

D

7 (63.6%)

11 (31.4%)

Total

24 (100%)

11 (100%)

35 (100%)

Cell

O

E

O – E

(O – E)2

(O – E)2/E

A

20

16.46

3.54

12.5316

0.761337

B

4

7.54

–3.54

12.5316

1.662016

C

4

7.54

–3.54

12.5316

1.662016

D

7

3.46

3.54

12.5316

3.62185

7.707218

Nonminority

Minority

Total

No arrest

A

15

B

5

20

Arrest

C

1

D

3

4

Total

16

8

24

Nonminority

Minority

Total

No arrest

A

15

(93.8%)

B

5

(62.5%)

20

(83.3%)

Arrest

C

1

(6.3%)

D

3

(37.5%)

4

(16.7%)

Total

16

(100%)

8

(100%)

24

(100%)

Cell

O

E

O – E

(O – E)2

(O – E)2/E

A

15

13.33

1.67

2.7889

0.20922

B

5

6.67

–1.67

2.7889

0.418126

C

1

2.67

–1.67

2.7889

1.044532

D

3

1.33

1.67

2.7889

2.096917

3.768795

Nonminority

Minority

Total

No arrest

A

4

B

0

4

Arrest

C

3

D

4

7

Total

7

4

11

Nonminority

Minority

Total

No arrest

A

4

(57.1%)

B

0

(0.0%)

4

(36.4%)

Arrest

C

3

(42.9%)

D

4

(100%)

7

(63.6%)

Total

7

(100%)

4

(100%)

11

(100%)

Cell

O

E

O – E

(O – E)2

(O – E)2/E

A

4

2.55

1.45

2.1025

0.82451

B

0

1.45

–1.45

2.1025

1.45

C

3

4.45

–1.45

2.1025

0.472472

D

4

2.55

1.45

2.1025

0.82451

 

3.571492

Document Information

Document Type:
DOCX
Chapter Number:
10
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 10 Elaboration Of Tabular Data And The Nature Of Causation
Author:
Jonathon A. Cooper

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