SOLUTION: A researcher was interested in studying the phenomenon known as social distance, the reluctance of people to associate with members of different ethnic and racial groups. She desi

Question 86928This question is from textbook elementary statistics in social research
: A researcher was interested in studying the phenomenon known as social distance, the reluctance of people to associate with members of different ethnic and racial groups. She designed an experiment in which students enrolled in a lecture course were asked to choose a discussion group (all meeting at the same time in the same building) based only on the ethnic-racial stereotype associated with the names of the teaching assistant:
Group Teaching Assistant Room Enrollment
_____________________________________________________
A Cheng 106 10
B Schultz 108 24
C Goldberg 110 10
D Rodriguez 112 16
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Based on the enrollments, use the one-way chi-squre to test the null hypothesis that the ethnic-racial name made no difference in students' selection of a discussion group.This question is from textbook elementary statistics in social research

Answer by stanbon(48568) (Show Source):
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Group Teaching Assistant Room Enrollment
_____________________________________________________
A Cheng 106 10
B Schultz 108 24
C Goldberg 110 10
D Rodriguez 112 16
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Ho: choices are uniformly distributed
Ha: choices are not uniformly distributed
Critical Value: df=4-1=3; Chi-Sq = 7.815 for alpha = 5%
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Note: Expected value for each teacher's attendance = (1/4)60=15
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Test Statistic:
Chi-Sq =[(10-15)^2]/15 + [(24-15)^2]/15 + [(10-15)^2]/15 +[(16-15)^2]/15
Chi-Sq = [25/15] + [81/15] + [25/15] + 1/15 = 132/15 = 8.8
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Since 8.8 > 7.815, reject Ho.
The test shows significant statistical support for the conclusion
that the selection is influenced by racial bias.
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Cheers,
Stan H.