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At what allelic frequency is the heterozygous genotype (Aa) twice as frequent as the homozygous genotype (aa) in a Hardy-
Weinberg population?
EXPLANATION
Applied Statistical Methods
- Hardy-Weinberg Equilibrium Genotype Frequencies:
- For a diallelic gene with allele frequencies $p$ (allele $A$) and $q$ (allele $a$) such that $p + q = 1$:
- Heterozygote frequency: $f(Aa) = 2pq$
- Recessive homozygote frequency: $f(aa) = q^2$
- Given condition: The heterozygous genotype is twice as frequent as the homozygous recessive genotype:
- Dividing both sides by $2q$ (for $q \neq 0$):
- Since $p + q = 1$ and $p = q$:
- Conclusion: The required allelic frequencies are p = 0.5; q = 0.5 (Option 4).
Correct option: (4) p=05;q=05
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