A report suggests that business majors spend the least amount of time on course work than all other college students. A provost of a university decides to conduct a survey where students are asked if they study hard, defined as spending at least 20 hours per week on course work. Of 120 business majors included in the survey, 20 said that they studied hard, as compared to 48 out of 150 nonbusiness majors who said that they studied hard. (You may find it useful to reference the appropriate table: z table or ttable) Let p1 represent the population proportion of business majors who study hard, and p2 the population proportion of non-business majors who study hard. a. State the hypotheses to test if proportion of business majors who study hard is less than that of the non-business majors. OHo: P1 - P2 3 0; HA: P1 - P2 > 0 Ho: P1 - P2 2 0; HA: P1 - P2