In another flu prevention experiment like the one described in Example 14.5, the ex- perimenter decides to search the clinic records for 300 patients in each of the three treatment categories: no vaccine, one shot, and two shots. The n = 900 patients will then be surveyed regarding their winter flu history. The experiment results in a 2 3 table with the column totals fixed at 300, shown in Table 14.8. By fixing the column totals, the experimenter no longer has a multinomial experiment with 2 3 = 6 cells. Instead, there are three separate binomial experiments-call them 1, 2, and 3-each with a given probability p, of contracting the flu and q; of not contracting the flu. (Remember that for a binomial population, p + q = 1.) 

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Cases of Flu for Three Treatments No Vaccine One Shot |Two Shots |Total Flu 1 No flu 12 Total 300 300 300 n