Suppose that in Exercise 32 each student had been categorizedwith respect to political

Chapter 14, Problem 34

(choose chapter or problem)

Suppose that in Exercise 32 each student had been categorizedwith respect to political views, marijuana usage, and religiouspreference, with the categories of this latter factor beingProtestant, Catholic, and other. The data could be displayedin three different two-way tables, one corresponding toeach category of the third factor. With pijk 5 P(politicalx2 5 gIi51gJj51a N2ijEijb 2 nthe null hypothesis of independence of all three factorsstates that . Let denote the observed frequencyin cell (i, j, k). Show how to estimate the expectedcell counts assuming that H0 is true ( , so the smust be determined). Then use the general rule of thumb todetermine the number of degrees of freedom for the chisquaredstatistic.

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