Question

A well-researched effect in the criminal justice literature is that mock jurors in research studies are more likely to convict an African-American defendant than a White defendant when they are accused of the same crime. For this study, we wanted to know whether a measure of self-reported racial bias was correlated with or could be used to predict harshness of sentencing recommendations for an African-American defendant. Participants read a vignette where an African American defendant was tried and convicted of a crime, and they were then asked to indicate how long of a prison sentence they felt he deserved (options ranged from 0 years – 7 years). They then completed a measure of self-reported racial bias, which had a minimum score of 0 (least biased) to 20 (most biased)

Enter the following data set into SPSS.

ID	Racial Bias	Sentencing Recommendation	ID	Racial Bias	Sentencing Recommendation
1	11	4	21	12	6
2	5	2	22	10	4
3	14	7	23	4	2
4	16	6	24	6	2
5	9	4	25	14	6
6	11	4	26	6	3
7	14	5	27	12	6
8	13	5	28	10	6
9	4	2	29	1	2
10	2	2	30	2	3
11	10	4
12	6	2
13	13	6
14	10	5
15	3	2
16	5	2
17	3	6
18	5	3
19	12	6
20	3	0

1. Create a scatterplot in SPSS to look at the relationship between the two variables and include it with your output. What would you say the relationship between the two variables is? (strength and direction) __________________________________  
2. Now run an analysis to determine whether there is a significant correlation between the two variables. Which type of SPSS analysis is appropriate to use to answer the question above? _____________________
3. What is the mean for racial bias? __________ What is the mean for sentencing recommendations? _________
4. What is the correlation between racial bias and sentencing recommendations? __________________ Is it significant at a = .05? ______________
5. How would you describe this correlation? (strength and direction) ________________________________

Answer 1

Answer:

1. Create a scatterplot in SPSS to look at the relationship between the two variables and include it with your output.What would you say the relationship between the two variables is? (strength and direction) __________________________________(2pts)  

Strength = Strong

Direction = Positive

2) Now run an analysis to determine whether there is a significant correlation between the two variables. Which type of SPSS analysis is appropriate to use to answer the question above?

Bivariate correlation test

3) What is the mean for racial bias? __________(1pt) What is the mean for sentencing recommendations?  _________(1pt)

The mean for racial bias is 8.2.

The mean for sentencing recommendations is 3.9.

4) What is the correlation between racial bias and sentencing recommendations? __________________ (1pt) Is it significant at a =.05?______________(1pt)

The correlation between racial bias and sentencing recommendations is 0.803.

Yes, it is significant at a =.05.

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