The associate dean of a business school was looking for ways to improve the quality of the applicants to its MBA program. In particular, she wanted to know whether the under- graduate degree of applicants differed among her school and the three nearby universities with MBA programs. She sampled 100 applicants of her program and an equal number from each of the other universities. She recorded their undergraduate degrees (1 = BA, 2 = BEng, 3 = BBA, 4 = other) as well as universities (codes 1, 2, 3, and 4). The research topic is: if these data provide sufficient evidence to infer that undergraduate degree and the university each person applied are related.

1. The correct hypothesis statement is:

A:

H₀: The two variables (university and degree) are independent

H₁: The two variables are dependent

B:

H0: The two variables are dependent

H₁: The two variables (university and degree) are independent

2. For above hypothesis testing, what the test statistic should you use:

A: T-test

B: Z-test

C: F-Test

D: Chi-square Test

3. For above question, thevalue of the test statistic is:

A: 33.15

B: 41.78

C: 43.36

D: 42.66

4. The critical threshold value for your test at 5% significance should be:

A: 12.65

B: 16.92

C: 12.76

D: 23.02

5. Look at the test statistic and compare it with the threshold value:

A. There is enough evidence to infer that undergraduate degree and the university applied to are related.

B. There is not enough evidence to infer that undergraduate degree and the university applied to are related.

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