A local fast-food restaurant serves buffalo wings. The restaurant’s managers notice that they normally sell the following proportions of flavors for their wings: 20% Spicy Garlic, 20% Classic Medium, 30% Teriyaki, 10%Hot BBQ, and 20% Asian Zing. After running a campaign to promote their nontraditional specialty wings, they want to know if the campaign has made an impact. The results after 10 days are listed in the following table. Is there sufficient evidence at the 0.005 level of significance to say that the promotional campaign has made any difference in the proportions of flavors sold?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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A local fast-food restaurant serves buffalo wings. The restaurant’s managers notice that they normally sell the following proportions of flavors for their wings: 20% Spicy Garlic, 20% Classic Medium, 30% Teriyaki, 10%Hot BBQ, and 20% Asian Zing. After running a campaign to promote their nontraditional specialty wings, they want to know if the campaign has made an impact. The results after 10 days are listed in the following table. Is there sufficient evidence at the 0.005 level of significance to say that the promotional campaign has made any difference in the proportions of flavors sold?

Buffalo Wing Sales:
Number Sold:
Spicy Garlic 107
Classic Medium 111
Teriyaki 134
Hot BBQ 71
Asian Zing 110

Step 1 of 4 :  
State the null and alternative hypotheses in terms of the expected proportion for each flavor.
 
H0: pSG=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, pCM=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, pT=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, pBBQ=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, pAZ=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
Ha: There is a difference from the stated proportions.
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