A particular state consisting of four distinct regions

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Suppose that in a particular state consisting of four distinct regions, a random sample of nk voters is obtained from the k th region for k = 1, 2, 3, 4. Each voter is then classified according to which candidate (1, 2, or 3) he or she prefers and according to voter registration (1 = Dem., 2 = Rep., 3 5 Indep.d. Let pijk denote the proportion of voters in region k who belong in candidate category i and registration category j. The null hypothesis of homogeneous regions is  he proportion within each candidate/registration combination is the same for all four regions). Assuming that H0 is true, determine pijk and eijk as functions of the observed nijk's, and use the general rule of thumb to obtain the number of degrees of freedom for the chi-squared test.

Reference no: EM131087495

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