Question

Suppose we are interested if interest in mathematics is evenly distributed amongst both SJC campuses. Eighty two students were surveyed and asked to respond to the statement “I enjoy math.” with either Strongly Agree, Agree, Neutral, Disagree, or Strongly Disagree. The results are as follows: For the Brooklyn campus, 9 students responded Strongly Agree, 13 responded Agree, 5 responded Neutral, 2 responded Disagree, and 1 responded Strongly Disagree. For the Patchogue Campus, 12 responded Strongly Agree, 18 responded Agree, 11 responded Neutral, 6 responded Disagree, and 5 responded Strongly Disagree. Test this data for homogeneity in responses

Answer 1

TS = 2.4237

p-value = 0.6583

since p-value > alpha

we fail to reject the null hypothesis

we conclude that there is not sufficient evidence that interest in mathematics is not evenly distributed amongst both SJC campuses.