9.50 Government loans for Canadian students in private career colleges. Refer to the previous exercise. The survey also asked about how these college students paid for their education. A major source of funding was government loans. Here are the survey percents of Canadian private students who use government loans to finance their education by field of study:

Field of
study
Number of
students
Percent using
government loans
Trades94245%
Design59953%
Health523455%
Media/IT323855%
Service137860%
Other230047%
  1. (a) Construct the 6 × 2 table of counts for this exercise.

  2. (b) Test the null hypothesis that the percent of students using government loans to finance their education does not vary with field of study. Be sure to provide all the details of your significance test.

  3. (c) Summarize your analysis and conclusions. Be sure to include a graphical summary.

  4. (d) The number of students reported in this exercise is not the same as the number reported in Exercise 9.49. Suggest a possible reason for this difference.