Consider a population where gene A come in two form, A1 and A2. This gene is not

under selection and random mating occurs with respect to that gene and p= 0.5 and q=
0.5. What are the expected genotype frequencies in the next generation? To do this, you
should find the probabilities of all matings and what the expected outcomes are.

So, p and q are .5, respectively, which I believe are the observed valus. so p^2 and q^2=.0025
so i tried using the H.W equation, but I still come up with .25+.25=.5, but the answer is supposed to be .707, or 70.7% of the population.
Help. Please. you guys are all awesome by the way.