Suppose that in Exercise 32 each student had been categorized with respect to political...

Suppose that in Exercise 32 each student had been categorized with respect to political views, marijuana usage, and religious preference, with the categories of this latter factor being Protestant, Catholic, and other. The data could be displayed in three different two-way tables, one corresponding to each category of the third factor. With p_ijk = P(political category i, marijuana category j, and religious category k), the null hypothesis of independence of all three factors states thatp_ijk = p_i..p._j.p.._k Let n_ijk denote the observed frequency in cell (i, j, k). Show how to estimate the expected cell counts assuming that H0 is true , so the s must be determined). Then use the general rule of thumb to determine the number of degrees of freedom for the chisquared statistic.

Reference exercise 32

Each individual in a random sample of high school and college students was cross-classified with respect to both political views and marijuana usage, resulting in the data displayed in the accompanying two-way table (“Attitudes About Marijuana and Political Views,” Psychological Reports, 1973: 1051–1054). Does the data support the hypothesis that political views and marijuana usage level are independent within the population? Test the appropriate hypotheses using level of significance .01.