A report suggests that business majors spend the least amount oftime on course work than other college students (The New YorkTimes, November 17, 2011), A provost of a university conductsa survey of 50 business and 50 nonbusiness students. Students areasked if they study hard, defined as spending at least 20 hours perweek on course work. The response shows \"yes\" if they worked hardor \"no\" otherwise; a portion of the data is shown in the followingtable.
- At the 5% level of significance, determine if the percentage ofbusiness majors who study hard is less than 20%?
- At the 5% level of significance, determine if the percentage ofnonbusiness majors who study hard is more than 20%.
Please show work**
Business Major | Non-business Major |
Yes | No |
No | Yes |
No | Yes |
No | No |
No | No |
No | No |
No | No |
No | Yes |
No | No |
Yes | Yes |
No | Yes |
No | No |
No | Yes |
No | Yes |
No | Yes |
Yes | No |
No | No |
No | No |
No | No |
No | Yes |
Yes | Yes |
No | No |
No | No |
No | No |
No | No |
No | No |
No | No |
No | No |
No | Yes |
No | No |
No | No |
No | Yes |
No | No |
No | No |
No | Yes |
No | No |
No | Yes |
No | No |
Yes | Yes |
No | No |
No | Yes |
No | No |
No | No |
No | No |
No | No |
No | No |
Yes | No |
No | No |
Yes | No |
Yes | Yes |
