A report suggests that business majors spend the least amount of time on course work than all other college students (The New York Times, November 17, 2011). 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. At the 5% significance level, can we conclude that the proportion of business majors who study hard is less than that of nonmajors? Provide the details.