A report suggests that business majors spend the least amount of time on course work compared to all other college students (The Washington Post, January 28, 2017). A provost of a university conducts a survey on 270 students. Students are asked their major (business or nonbusiness) and if they study hard (yes or no), where study hard is defined as spending at least 20 hours per week on course work. A portion of the responses is shown in the accompanying table. 

a. Construct a contingency table that cross-classifies the data by Major and Study Hard. How many of the students are business majors? How many of the students study hard?

b. Given that the student is a business major, what is the likelihood that the student studies hard? Given that the student is a nonbusiness major, what is the likelihood that the student studies hard? Do the data seem to support the findings in the report? Explain. 

c. Construct a stacked column chart. Comment on the findings.

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Student 1 2 ⠀ 270 Major business business ⠀ nonbusiness Study Hard yes yes ⠀ no