You are a psychologist interested in whether white people’s scores on a well-est
ID: 3052195 • Letter: Y
Question
You are a psychologist interested in whether white people’s scores on a well-established racial prejudice attitude scale correlates with their friendliness towards an African-American experimenter. You obtain a sample of 15 Caucasian-American adults and ask them to fill out the scale (the scale ranges from 0-20, with higher scores indicating higher levels of prejudice). They are then debriefed by an African-American experimenter who rates their friendliness/hostility based on eye contact, smiling, and so on (the ratings are from 1-10, with higher ratings indicating more hostility). The data are as follows:
Participant # Attitude scale score Rated hostility
1 18 5
2 4 3
3 9 10
4 5 4
5 13 6
6 11 2
7 12 3
8 15 8
9 10 6
10 7 7
11 15 8
12 17 9
13 9 7
14 3 5
15 19 6
1. Test the hypothesis that racial prejudice based on a self-report measure and hostility upon encountering individual African-Americans are related.
a) Represent the null hypothesis and the alternative hypothesis in symbols.
b) Locate your critical region using an alpha level of 0.05.
c) Based on this study, what can you conclude about whether the scale measure of prejudice and nonverbal hostility towards African-Americans are related? As well as stating whether you reject or fail to reject the null hypothesis, state your substantive conclusion in simple English.
Explanation / Answer
a) H0: the scale measure of prejudice and nonverbal hostility towards African-Americans are not related
H1: the scale measure of prejudice and nonverbal hostility towards African-Americans are related
b)
Correlations: Attitude Scale, Rated Hostility
Pearson correlation of Attitude Scale and Rated Hostility = 0.311
Critical vlaue of r = 0.514
P-Value = 0.258
c) Here P-value > alpha 0.05, so we accept H0
or Pearson correlation is less than Critical vlaue of r , so we accept H0
d) Thus we conclude that the scale measure of prejudice and nonverbal hostility towards African-Americans are not related
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