In Exercise 9.37, we tried to prove that the national brand tasted better than the store brand. Perhaps, however, the store brand has a better taste than the national brand! If this is true, then the store brand 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 store brand was found to be better than the national brand in six of the taste comparisons. Use this information to test the hypothesis in part a. Use α = .01.
c. In the other 21 food comparisons in this experiment, the tasters could find no difference in taste between the store and national brands. What practical conclusions can you draw from this fact and from the two hypothesis tests in Exercises 9.37(b) and 9.38(b)?