Several types of yogurt are sold in a small general store. From a past study of

Question

Several types of yogurt are sold in a small general store. From a past study of customer selections, the owner knows that 20% of the customers ordered flavor A, 30%, flavor B, 18%, flavor C, 12%, flavor D, and the remainder, flavor E. Now the owner, who thinks that the customer preferences have changed, randomly samples 80 customers and finds that 13 prefer A, 16 prefer B, 29 prefer C, 11 prefer E and the remainder prefer D. Determine if the customers' preferences have changed from the last study. Use significance level = 0.05. Calculate the test statistic. 2 =________ (Round to two decimal places as needed.) chi squared 2 = _____ (Round to two decimal places as needed.)

Explanation / Answer

applying chi square goodness of test on above data:

test statistic. 2 = 19.80

for degree of freedom df =number of categories-1=5-1=4

for 4 df and 0.05 level  chi squared 2 = 9.49

please revert for any clarificaiton required.

observed Expected Chi square flavour Probability O E=total*p =(O-E)^2/E A 0.200 13.000 16.00 0.56 B 0.300 16.000 24.00 2.67 C 0.180 29.000 14.40 14.80 D 0.120 11.000 9.60 0.20 E 0.200 11.000 16.00 1.56 1 80 80 19.7986

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