Final answer:
The frequency of the dominant allele will decrease from 0.8 to 0.4 in the next generation.
Step-by-step explanation:
The frequency of a dominant allele in a population is 0.8 before the environment changes. In the next generation, the frequency of the dominant allele will decrease by half, resulting in a frequency of 0.4. However, it's important to note that the question does not provide information about the frequencies of other alleles or genotypes in the population, so it is not possible to determine whether the population is in Hardy-Weinberg equilibrium or not.