A sample of 300 people was randomly chosen, and the sampled individuals were classified as to their gender and political affiliation, Democrat, Republican, or Independent. The following table, called a contingency table, displays the resulting data

Thus, for instance, the contingency table indicates that the sample of size 300 contained 68 women who classified themselves as Democrats, 56 women who classified themselves as Republicans, and 32 women who classified themselves as Independents; that is, N11 = 68,N12 = 56, and N13 = 32. Similarly, N21 = 52,N22 = 72, and N23 = 20.
Use these data to test the hypothesis that a randomly chosen individual’s gender and political affiliation are independent.

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j Democrat Republican Independent Total Women Men 68 52 56 72 Total 120 128 222 22 32 156 20 144 52 300