10.37 Suppose Universiti Kuala Lumpur, Malaysia, offers business communication as an elective module. Of a random sample of 154 accounting students, 62 have taken the module. This same elective was taken by 44 students from an independent random sample of 137 finance majors.

a. Test, at the 5% level, the null hypothesis that at least one-half of all accounting students have taken the elective module.

b. Test, at the 5% level against a two-sided alternative, the null hypothesis that the population proportions of accounting and finance majors who have taken the elective module are the same.