In: Statistics and Probability
From 90 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to "potstickers" (a popular food item). Both numerical variables failed tests for normality, so they tried a chi-square test. Each variable was converted into ordinal categories (low, medium, high) using cutoff points that produced roughly equal group sizes. At α = .05, is per-person spending independent of percent of sales from potstickers?
Per spending: Low Med High Row Total
Low 9 10 8 27
Med 7 13 9 29
High 9 8 17 34
Col Total 25 31 34 90