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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 a = .05, is per- person spending independent of percent of sales from potstickers? Yes O No Per-Person Spending Low Medium High Column Total Click here for the Excel Data File (a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent. Test statistic Degrees of freedom p-value Low 17 9 4 30 Yes (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.) (c) We reject the null and find dependence. O No Potsticker % of Sales Medium High 10 5 13 4 4 14 27 23 Row Total 32 26 22 80

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 a = .05, is per- person spending independent of percent of sales from potstickers? Yes O No Per-Person Spending Low Medium High Column Total Click here for the Excel Data File (a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent. Test statistic Degrees of freedom p-value Low 17 9 4 30 Yes (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.) (c) We reject the null and find dependence. O No Potsticker % of Sales Medium High 10 5 13 4 4 14 27 23 Row Total 32 26 22 80

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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 a = .05, is per- person spending independent of percent of sales from potstickers? O Yes O No Per-Person Spending Low Medium High Column Total Low 17 9 4 30 Test statistic Degrees of freedom p-value O Yes O NO Potsticker % of Sales Medium 10 13. 4 Click here for the Excel Data File (a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent. (c) We reject the null and find dependence. 27 High 5 4 14 23 (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.) Row Total 32 26 22 80
Transcribed Image Text: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 a = .05, is per- person spending independent of percent of sales from potstickers? O Yes O No Per-Person Spending Low Medium High Column Total Low 17 9 4 30 Test statistic Degrees of freedom p-value O Yes O NO Potsticker % of Sales Medium 10 13. 4 Click here for the Excel Data File (a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent. (c) We reject the null and find dependence. 27 High 5 4 14 23 (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.) Row Total 32 26 22 80
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