4.36 Many genetic traits occur in large populations according to the Hardy–

Weinberg Law, which is based on the binomial expansion

(p þ q)2 ¼ p2 þ 2pq þ q2 The so-called M–N blood types of humans have three antigens, M only, N only, and both M and N, with respective probabilities p2, q2, and 2pq.

For the white population in the United States, studies have shown that p ¼ .54 and q ¼ .46. A sample of 200 white college students had 63 type M only, 32 type N only, and 105 type M and N. Do these data conform to the Hardy–Weinberg Law?