The table below summarizes the replies of 300 randomly selecteduniversity graduates who participated in a nationwide survey:
| Degree of Job Satisfaction | Total |
| High | Low or Moderate |
Type of Program While Studying | Professional Count | 79 | 21 | 100 |
| Expected | | | |
| Non-Professional Count | 131 | 69 | 200 |
| Expected | | | |
| Total | 210 | 90 | 300 |
(a) Determine the expected numbers, assuming the degree of jobsatisfaction is independent of type of program taken at university(i.e. there is some association between degree of job satisfactionand the type of program). Fill your answers into the tableabove.
(b) Use the Chi-square test with α = 0:05 to test the hypothesisthat the degree of job satisfaction depends on the type of programtaken at university.
i) H0:
Ha:
Observed Test Statistic (x2 statistic):
ii) p-value (use x2 table):
Decision with justification:
Conclusion in context:
