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From 88 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to potstickers (a popular food

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From 88 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 a= .02, is per- person spending independent of percent of sales from potstickers? Potsticker % of Sales PerPerson Spending Low Medium High Row Total Low 12 14 3 29 Medium 12 11 3 26 High 11 4 18 33 Column Total 35 29 24 88 B Click here for the Excel Data File (a) The hypothesis for the given issue is Hp: Percentage of Sales and Per-Person Spending are independent. O Yes O No (b) 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.) Test statistic Degrees of freedom p-value (c) We reject the null and find dependence. O No O Yes Noodles & Company: Spending Per Person and Potstickers % of Sales (n = 88 restaurants) Potsticker % of Sales Per person Spending Row Total Low 29 Medium 26 High 33 Col Total

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