Question

The table below summarizes the replies of 300 randomly selected university 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 job satisfaction is independent of type of program taken at university (i.e. there is some association between degree of job satisfaction and the type of program). Fill your answers into the table above.

(b) Use the Chi-square test with α = 0:05 to test the hypothesis that the degree of job satisfaction depends on the type of program taken at university.

i) H₀:

H_a:

Observed Test Statistic (x² statistic):

ii) p-value (use x² table):

Decision with justification:

Conclusion in context:

Answer 1