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

a. Use a chi-square test to determine whether the number of couples with the same last initial is significantly different than would be expected if couples were matched randomly. Test with a = .05.
b. You should find that the data lead to rejecting the null hypothesis. However, in problem = the decision was fail to reject. How do you explain the fact that the two samples have the same proportions but lead to different conclusions?

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Same Initial Different Initials 38 362 400