Question

A report suggests that business majors spend the least amount of time on course work than other college students (The New York Times, November 17, 2011), A provost of a university conducts a survey of 50 business and 50 nonbusiness students. Students are asked if they study hard, defined as spending at least 20 hours per week on course work. The response shows "yes" if they worked hard or "no" otherwise; a portion of the data is shown in the following table.

1. At the 5% level of significance, determine if the percentage of business majors who study hard is less than 20%?
2. At the 5% level of significance, determine if the percentage of nonbusiness 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

Answer 1