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Independence Tests
13. Chi-Square Tests & Goodness of Fit / Independence Tests / Problem 2
Problem 2

A researcher collects data on 120120 college students, categorizing them by their major (Science, Arts, Business) and their preferred study method (Group, Solo, Mixed). The observed counts are as follows:
GroupSoloMixedScience101812Arts81410Business121620\begin{array}{c|ccc} & \text{Group} & \text{Solo} & \text{Mixed}\\ \text{Science} & 10 & 18 & 12\\ \text{Arts} & 8 & 14 & 10\\ \text{Business} & 12 & 16 & 20\\ & & & \end{array}
At α=0.01\alpha=0.01, test whether the type of major and preferred study method is independent.