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 12
B Schultz 108 26
C Goldberg 110 12
D Rodriguez 112 18
Based on the enrollments, use the one-way chi-square to test the null hypothesis that the ethnic-racial name made no difference in students' selection of a discussion group. State your null and alternative hypothesis and show your work step by step. Make sure to interpret your findings (Use .01 significance level).