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Use the following to answer questions 23 through 27. A corner bakery sells donut

ID: 3222268 • Letter: U

Question

Use the following to answer questions 23 through 27. A corner bakery sells donuts, breads, bagels, and cakes. Over 10 days, the bakery randomly sampled 50 customers and asked which item was the favorite. The results were as follows. The bakery wants to know if there is this sample provides evidence that some items are more highly desired than others. If such evidence exists, the bakery would consider providing more varieties for the items which customers desire most (e.g., more flavors of donuts?). Calculate the observed goodness of fit statistic for the data. Show work! Show the critical test statistic at alpha =. 01. Show the critical test statistic at alpha =. 05. Use the table(s) provided to put bounds on the p-value. In a single sentence or two, present your recommendation to the bakery.

Explanation / Answer

null hypothesis: all brands are equally preferable

altenate hypothesis: some brand are more preferable then other

for above test stat 6.64 and 3 degree of freedom ; p value =0.0843

24) at 0.01 level critical value =11.3449

25)at 0.05 level critical value =7.8147

26) p value=0.0843 bound 0.05<p value<0.1

27) from above at 0.01 and 0.05 level we are unable to reject null hypothesis that all brands are equally likely preferable.

observed Expected Chi square Probability O E=total*p =(O-E)^2/E Donuts 0.250 18.00 12.50 2.42 Bread 0.250 8.00 12.50 1.62 Bagles 0.250 16.00 12.50 0.98 Cakes 0.250 8.00 12.50 1.62 50 50 6.6400
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