In a study of the mating behavior of Gryllus campestris, pairs of female crickets were placed in a plexiglass arena with a single male cricket. There were 54 cases in which the females fought; these resulted in 42 cases in which the winning female copulated with the male, 8 cases in which the losing female copulated with the male, and 4 cases that ended with no copulation. The data are summarized in the following table. Use McNemar's test to test the hypothesis that winners and losers are equally likely to copulate. Use an appropriate directional alternative and let α = 0.05.

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Winners Copulate Yes No Losers Yes No42 4