In a head-to-head taste test of store-brand foods versus national brands, Consumer Reports found that it was hard to find a taste difference in the two. 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 hypothesis to be tested. Is this a one- or a two-tailed test?
b. Suppose that, of the 35 food categories used for the taste test, the national brand was found to be better than the store brand in eight of the taste comparisons. Use this information to test the hypothesis in part a. Use α = .01. What practical conclusions can you draw from the results?