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Remember the controversy described over the authorship of 12 of The Federalist papers? The question was whether they were written by Alexander Hamilton or James Madison. Mosteller and Wallace (1989) selected 48 1000-word passages known to have been written by Hamilton and 50 1000-word passages known to have been written by Madison.

In each passage they counted the frequency of certain words. The results for the word by are shown in the table. Is by used with significantly different frequency by the two writers? Explain how these results help in deciding about the 12 disputed papers.

Rate per 1000 words	Hamilton	Madison
0 - 6	21	5
7 - 12	27	31
13 - 18	0	14

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