Populations do not display nonrandom mating.
Keeping in mind that nonrandom mating is the converse of random mating, a.k.a., panmixis. Populations exhibiting Hardy-Weinberg equilibrium, in other words, display random mating/panmixis. See Hardy-Weinberg theorem.
For reference, see assumptions numbers 1, 2, 3, 4, and 5.