Chapter 20, Problem 20P

Epidemiologic data on the population in the previous problem reveal that before the application of modern medical treatment, natural selection played a major role in shaping the frequencies of alleles. Heterozygous individuals have the highest relative fitness, and in comparison to heterozygotes, those who are ${\text{β}}^{\text{A}}{\text{β}}^{\text{A}}$ have a relative fitness of $82$ percent, but only about $32$ percent of those with SCD survived to reproduce. What are the estimated equilibrium frequencies of ${\text{β}}^{\text{A}}$ and ${\text{β}}^{\text{S}}$ in this population?