Tay–Sachs disease is an autosomal recessive disorder. Among Ashkenazi Jews, the frequency of Tay–Sachs disease is 1 in 3600. Assuming the Ashkenazi population is in Hardy-Weinberg equilibrium, what proportion of the population is expected to be carriers (e.g. heterozygous) for the Tay–Sachs

Human Anatomy & Physiology (11th Edition)
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Tay–Sachs disease is an autosomal recessive disorder. Among Ashkenazi Jews, the frequency of Tay–Sachs disease is 1 in 3600. Assuming the Ashkenazi population is in Hardy-Weinberg equilibrium, what proportion of the population is expected to be carriers (e.g. heterozygous) for the Tay–Sachs allele?
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p2 + 2pq + q2 = 1 and p + q = 1

p = frequency of the dominant allele in the population
q = frequency of the recessive allele in the population

p2 = percentage of homozygous dominant individuals
q2 = percentage of homozygous recessive individuals
2pq = percentage of heterozygous individuals

 

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