8.45 Sample size for coffee. Refer to Exercise 8.38 where we analyzed data from a matched pairs study that compared preferences for instant versus fresh-brewed coffee. Suppose that you want to design a similar study. The null hypothesis is that instant and fresh-brewed are equally likely to be preferred and the alternative is two-sided. You will use α = 0.05. What is the sample size needed to detect a preference of 60% for fresh-brewed with 0.80 probability?