Probability 7.

(b) The student union of a large university gathered a random sample of 525 students to determine whether they are in favour of a new examination timetable. The table below summarises the student responses. In favour of Subject area Sample size new examination timetable Humanities 325 221 Science 200 120 i. Do the student responses indicate a difference between students in humanities and science degrees in whether they are in favour of the new examination timetable? Conduct a suitable hypothesis test at two appropriate significance levels and comment on your results. State any assumptions that you make. ii. Compute a 97% confidence interval for the difference of proportions with positive responses between humanities and science degrees in the population