A study was conducted by introductory statistics students to see whether majors in the sciences are as likely to take a statistics course as majors in the humanities. They sampled 50 seniors from among humanities majors and another 50 seniors from among science majors and asked if they had taken a statistics course or were scheduled to take one before they graduated. Their data are provided in Table 6.9.
Table 6.9 Results from the statistics enrollment study.

a. Was either the explanatory (row) or the response (column) variable fixed before the study was conducted?
b. Is this an example of an experiment or an observational study?
c. Is this a cross-classification, cohort, or case- control study?
d. Create a segmented bar chart for the data.
e. Create a simulation study to test the one-sided hypothesis that science majors are more likely to take a statistics course. Provide a p-value. Assuming that students took care to collect a simple random sample of seniors from each division, what conclusions can be drawn?
f. Use Fisher€™s exact test to test the one- sided hypothesis that science majors are more likely to take a statistics course. Provide a p-value. Assuming that students took care to collect a simple random sample of seniors from each division, what conclusions can be drawn?

Yes No Humanities Major2327 18 Science Major 32