University wishes to investigate whether the study-related stress varies across different degree programs. To do so, the University surveyed three groups of undergraduate, postgraduate, and Ph.D. students. In this questionnaire, students are asked to categorize their stress in terms of "low", "moderate", or "high". The survey results are provided as follows. In each cell, we record the number of students who indicate their stress level in the corresponding category.

	Degree
Study-related stress	Undergraduate	Postgraduate	Ph.D.	Total
Low	72	27	10	109
Moderate	45	31	23	99
High	33	52	32	117
Total	150	110	65

Using this survey result, we test the null hypothesis that the study-related stress is unassociated with the degree program in which a student enrolls.

Required:

a. Calculate the Chi-square statistic. Also, indicate what degree of freedom we should use in the Chi-square distribution for drawing inferences