Question

multiple choice question
in a population of 412 cats, 68% have black fur and 32% have white fur. the black fur allele is dominant over the white fur allele. if we use the value q to represent the frequency of the white fur allele in the hardy-weinberg equation, what is the correct value for q?
0.57
0.68
0.82
0.32

Explanation:

Step1: Recall the Hardy - Weinberg equation

In the Hardy - Weinberg equation, \(p + q=1\) and \(p^{2}+2pq + q^{2}=1\), where \(q^{2}\) is the frequency of the homozygous recessive genotype. Here, white fur is recessive, so the frequency of white - furred cats (\(q^{2}\)) is \(0.32\).

Step2: Solve for \(q\)

If \(q^{2}=0.32\), then \(q=\sqrt{q^{2}}\). So \(q = \sqrt{0.32}\approx0.57\)

Answer:

0.57