9.49 When do Canadian students enter private career colleges? A survey of 13,364 Canadian students who enrolled in private career colleges was conducted to understand student participation in the private, postsecondary educational system.16 In one part of the survey, students were asked about their field of study and about when they entered college. Here are the results:
| Time of entry | |||
| Field of study | Number of students | Right after high school | Later |
| Trades | 942 | 34% | 66% |
| Design | 584 | 47% | 53% |
| Health | 5085 | 40% | 60% |
| Media/IT | 3148 | 31% | 69% |
| Service | 1350 | 36% | 64% |
| Other | 2255 | 52% | 48% |
In this table, the second column gives the number of students in each field of study. The next two columns give the marginal distribution of time of entry for each field of study.
(a) Use the data provided to make the table of counts for this problem.
(b) Analyze the data.
(c) Write a summary of your conclusions. Be sure to include the results of your significance testing as well as a graphical summary.