6. Taste Testing In a head-to-head taste test of storebrand foods versus national brands, Consumer Reports found that it was hard to tell the difference.4 If the national brand is indeed better than the store brand, it should be judged as better more than 50% of the time.

a. State the null and alternative hypotheses to be tested.

Is this a one- or a two-tailed test?

b. Suppose that, of the 25 food categories used for the taste test, the national brand was found to be better than the store brand in 7 of the taste comparisons, while in 10 pairs, the tasters could taste no difference between the two. Use the sign test to test the hypothesis in part a with a <.05. What practical conclusions can you draw?