Chapter 17, Problem 6P

Suppose that the researcher fromthe previous problem. repeated the study of married couples’ initials using twice as many participants and obtaining observed frequencies tha1t exactly double the original values. The resulting data are as follows:

Same Initial

Different

Initials

38 362 400

1. Use a chi- square test to determine whether the number of couples with the same last initial is significantly different that would be expected if
couples were matched randomly. Test with a = .05

You should find 1that the data lead to rejecting the null hypothesis. However in problem 5 the decision was fail to reject. How do you explain the fact that the two samples have the same proportion but lead to different conclusion?