a. Use Exercise 2 to determine if a chi- square test of homogeneity or a test of independence is appropriate for the data in Table 6.9. Give an explanation for your answer.
b. Use the data in Table 6.9 to determine if the same proportion of humanities and science majors take a statistics course. Assuming that students took care to collect a simple random sample of seniors from each division, what conclusions can be drawn?
c. Use a simulation study to determine if a difference in proportions at least as large as the one in the sample data is likely to occur by chance (using a two- sided hypothesis test). Assuming that students took care to collect a simple random sample of seniors from each division, what conclusions can be drawn?
Table 6.9 Results from the statistics enrollment study.

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Yes No Humanities Major2327 18 Science Major 32