11.14 A manufacturer of floor polish conducted a consumer-preference experiment to determine which of five different floor polishes was the most appealing in appearance. A sample of 100 consumers viewed five patches of flooring that had each received one of the five polishes. Each consumer indicated the patch he or she preferred. The lighting and background were approximately the same for all patches. The results were as follows:

Polish A B C D E Total Frequency 27 17 15 22 19 100 Solve the following using the p-value approach and solve using the classical approach:

a. State the hypothesis for “no preference” in statistical terminology.

b. What test statistic will be used in testing this null hypothesis?

c. Complete the hypothesis test using   0.10.