Problems 5 and 6 in Chapter 17 cited a study showing that people tend to choose partners who are similar to themselves. Jones, Pelham, Carvallo, and Mirenberg,

(2004) demonstrated that people have a tendency to select marriage partners with surnames that begin with the same last letter as their own. The probability of randomly matching two last names beginning with the same letter is only p = 0.065 (6.5%).

a. If 19 out of 200 marriages involved brides and grooms with last names beginning with the same letter, is that enough to be significantly different than would be expected by chance? Use a two-tailed test with α = .05.

b. If 38 out of 400 marriages involved the same letter, is that enough to be significant using a two-tailed test with α = .05?