Answer:
The proportion of the population that is homozygous for the non-wiggling allele is 0.3056.
Step-by-step explanation:
Denote the variables as follows:
q² = number of people who are homozygous for the scalp-wiggling allele.
p² = number of people who are homozygous for the non-wiggling allele.
It is provided that the proportion of the population who are homozygous for the scalp-wiggling allele is, q² = 0.20.
Compute the value of q as follows:
[tex]q^{2}=0.20\\q=\sqrt{0.20}\\=0.4472[/tex]
Compute the value of p as follows:
[tex]p=1-q\\=1-0.4472\\=0.5528[/tex]
Compute the proportion of the population who are homozygous for the non-wiggling allele as follows:
[tex]p^{2}=(0.5528)^{2}=0.30558784\approx0.3056[/tex]
Thus, the proportion of the population that is homozygous for the non-wiggling allele is 0.3056.
