Suppose that a store carries two different brands, A and B, of a certain type of breakfast cereal. Suppose that during a one-week period the store noted whether each package of this type of cereal that was purchased was brand A or brand B and also noted whether the purchaser was a man or a woman. (A purchase made by a child or by a man and a woman together was not counted.) Suppose that 44 packages were purchased, and that the results were as shown in Table 10.19. Test the hypothesis that the brand purchased and the sex of the purchaser are independent.
Table 10.19 Data for Exercise 6

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Brand A Brand B 6 16 Men Women 13