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In: Statistics and Probability

From 80 of its restaurants, Noodles & Company managers collected data on per-person sales and the...

From 80 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?

Potsticker % of Sales
Per-Person Spending Low Medium High Row Total
Low 17 10 5 32
Medium 9 13 4 26
High 4 4 14 22
Col Total 30 27 23 80

Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and p-value to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)

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