A market researcher investigated consumer preferences for Coca-Cola and Pepsi before a taste test and after a taste test. The following table summarizes the results from a sample of 200 consumers:

a. Is there evidence of a difference in the proportion of respondents who prefer Coca-Cola before and after the taste tests? (Use α = 0.10.)
b. Compute the p-value and interpret its meaning.
c. Show how the following table was derived from the table above:

d. Using the second table, is there evidence of a difference in preference for Coca-Cola before and after the taste test? (Use α = 0.05.)
e. Determine the p-value and interpret its meaning.
f. Explain the difference in the results of (a) and (d). Which method of analyzing the data should you use? Why?

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PREFERENCE AFTER TASTE TEST PREFERENCE BEFORE TASTE TEST Coca-Cola Pepsi Coca-Cola Pepsi Total 6 110 90 104 14 118 82 200 76 Total SOFT DRINK PREFERENCE Coca-Cola Pepsi Total Before taste test After taste test Total 110 118 228 90 200 82 200 172 400