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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

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:

Can we conduct this test with the two-sample test? Discuss the respective situations in which the Chi-square test and the two-sample test are more suitable to use.

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