The following blood type data were collect in a sample of 700 native Americans from south Dakota:
Blood type A=326 individuals
Blood type B=20 individuals
Blood type AB=16 individuals
Blood type O= 338
Estimate the frequencies of the A,B and O alleles from the sample data
To estimate the frequencies of the A, B, and O alleles from the sample data, we can use the Hardy-Weinberg equation:
p^2 + 2pq + q^2 = 1
Where p is the frequency of the A allele and q is the frequency of the B allele.
Given that the frequency of the A allele is p, and the frequency of the B allele is q, we can calculate the frequency of the O allele by subtracting the frequencies of the A and B alleles from 1:
Frequency of O allele = 1 - p - q
From the given data, we can calculate the frequencies of the A and B alleles as follows:
Frequency of A allele (p) = (Number of Blood type A individuals) / (Total number of individuals)
= 326 / 700
≈ 0.466
Frequency of B allele (q) = (Number of Blood type B individuals) / (Total number of individuals)
= 20 / 700
≈ 0.0286
Substituting these values back into the equation, we can calculate the frequency of the O allele:
Frequency of O allele = 1 - p - q
= 1 - 0.466 - 0.0286
≈ 0.5054
Thus, the estimated frequencies of the A, B, and O alleles from the sample data are approximately 0.466, 0.0286, and 0.5054, respectively.