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. Business Majors Nonbusiness Majors Yes No No Yes No Yes Yes Yes At the 5% level of significance, determine if the percentage of business majors who study hard is less than 20%? At the 5% level of significance, determine if the percentage of nonbusiness majors who study hard is more than 20%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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.

Business Majors Nonbusiness Majors
Yes No
No Yes
No  Yes
Yes Yes

 

  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%.
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