Can someone help me figure this out, a Native America tribe of central Arizona, Woolf and Dukepoo(1959) found 26 albino individuals in a total population of 6000. This form of albinism is controlled by a single gene with two alleles: albinism is recessive to normal skin coloration.
1)Calculate the expected allele frequencies and genotype frequencies if the population were in Hardy-Weinberg equilibrium.
2) How many of the Hopi are estimated to be normally pigmented carriers of the recessive albino allele?
1)Calculate the expected allele frequencies and genotype frequencies if the population were in Hardy-Weinberg equilibrium.
2) How many of the Hopi are estimated to be normally pigmented carriers of the recessive albino allele?
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1) Hardy-Weinberg Equilibrium is based on two equations:
p + q =1
p^2 + 2pq + q^2 = 1
p = frequency of dominant allele
q = frequency of recessive allele
p^2 = frequency of homozygote dominant
2pq = frequency of heterozygote
q^2 = frequency of homozygote recessive
All numbers are rounded to 4 significant figures.
q^2 = 26/6000 = 0.004333
q = Squareroot(0.004333)
q = 0.06583
p = 1 - 0.06583 = 0.9342
p^2 = (0.9342)^2 = 0.8727
2pq = 2(0.9342)(0.06583)
2pq = 0.1230
And to double check:
2pq = 1 - 0.8727 - 0.004333
2pq = 0.1230
2) The normally pigmented carriers are heterozyotes. The proportion of heterozygotes is 0.1230. The number of heterozyogtes = 0.1230 x 6000 = 738 (nearest whole number)
p + q =1
p^2 + 2pq + q^2 = 1
p = frequency of dominant allele
q = frequency of recessive allele
p^2 = frequency of homozygote dominant
2pq = frequency of heterozygote
q^2 = frequency of homozygote recessive
All numbers are rounded to 4 significant figures.
q^2 = 26/6000 = 0.004333
q = Squareroot(0.004333)
q = 0.06583
p = 1 - 0.06583 = 0.9342
p^2 = (0.9342)^2 = 0.8727
2pq = 2(0.9342)(0.06583)
2pq = 0.1230
And to double check:
2pq = 1 - 0.8727 - 0.004333
2pq = 0.1230
2) The normally pigmented carriers are heterozyotes. The proportion of heterozygotes is 0.1230. The number of heterozyogtes = 0.1230 x 6000 = 738 (nearest whole number)