Suppose that each student in a sample had been categorizedwith respect to political

Chapter 14, Problem 34

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Suppose that each student in a sample had been categorizedwith respect to political views, marijuana usage,andreligious preference, with the categories of this latterfactor being Protestant, Catholic, and other. The data couldbe displayed in three different two-way tables, one corresponding to each category of the third factor. Withpijk 5 Pspolitical category i, marijuana category j, andreligious category k), the null hypothesis of independenceof all three factors states that pijk 5 pi? ? p?j?p? ?k. Let nijkdenote the observed frequency in cell (i, j, k). Show howto estimate the expected cell counts assuming that H0 istrue (eijk 5 npijk, so the pijks must be determined). Thenuse the general rule of thumb to determine the number ofdegrees of freedom for the chi-squared statistic.