Small population size causes genetic drift because ofchance sampling of different alleles from one generation to the next. We can predict how much geneticdrift occurs for a given population size using binomialsampling statistics. With a population of size N, wecan estimate that 95% of the time the allele frequency(p) in the next generation will be withinthe confidence interval of p ± 1.96 (√p(1 − p)2N ),where p(1 − p)2Nis an estimate of the statistical variancein allele frequencies from one generation to the nextwith random sampling of 2N alleles each generation. a. What is the confidence interval for p = 0.5 whenN = 100,000?b. What is the confidence interval for p = 0.5 whenN = 10?c. How are the results in parts (a) and (b) related tothe consequences of a population bottleneck?

Human Heredity: Principles and Issues (MindTap Course List)
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Chapter19: Population Genetics And Human Evolution
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Small population size causes genetic drift because of
chance sampling of different alleles from one generation to the next. We can predict how much genetic
drift occurs for a given population size using binomial
sampling
statistics. With a population of size N, we
can estimate that 95% of the time the allele frequency
(p) in the next generation will be within
the confidence interval of p ± 1.96 (√
p(1 − p)
2N ),
where p(1 − p)
2N
is an estimate of the statistical variance
in allele frequencies from one generation to the next
with random sampling of 2N alleles each generation. a. What is the confidence interval for p = 0.5 when
N = 100,000?
b. What is the confidence interval for p = 0.5 when
N = 10?
c. How are the results in parts (a) and (b) related to
the consequences of a population bottleneck?

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Genetic drift occurs due to small population size. This is because of chance sampling of different alleles from one generation to the next generation.

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