Solving Hardy-Weinberg Problems

1.    The allele y occurs with a frequency of 0.8 in a population of clams. Give the frequencies of the genotypes YY, Yy and yy. Show your work for full credit.
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2.    The gene for albinism is known to be a recessive allele. In Michigan, 9 people in a sample of 10,000 were found to have albino phenotypes. The other 9,991 had skin pigmentation normal for their ethnic group.

    a.    Assuming hardy-Weinberg equilibrium, what is the allele frequency for the dominant pigmentation allele in this population? Show your work.
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    b.    How many out of the 10,000 people in the sample above were expected to be heterozygous for pigmentation?
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    c.    A similar survey was carried out in Wisconsin, but only 2,500 people were surveyed. If allele frequencies are the same in Wisconsin as they are in Michigan, how many people would you expect to have the albino phenotypes in this sample?
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    d.    Following are the data that were actually collected in Wisconsin. Perform a chi-square test on these data. Can you accept the hypothesis that the allele frequency is the same in Wisconsin as in Michigan? Give degrees of freedom and p values. Use the chi-square table below to interpret your results. Show your work.
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Table 2. Chi-square probability table
  AA Aa aa Total
Observed 2345 150 5  
Expected