Of a random sample of 148 accounting majors, 75 rated a sense of humor as a very important trait to their career performance. This same view was held by 81 of an independent random sample of 178 finance majors.
a. Test, at the 5% level, the null hypothesis that at least one-half of all finance majors rate a sense of humor as very important.
b. Test, at the 5% level against a two-sided alternative, the null hypothesis that the population proportions of accounting and finance majors who rate a sense of humor as very important are the same.