Read the Lab 12 procedures and watch the online Hardy-Weinberg video (https://youtu.be/xPkOAnK20kw and posted on BlackBoard), then complete this assignment prior to lab.
- The Hardy-Weinberg Theorem states…
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- What are the five key assumptions that are necessary for the H-W Theorem to be valid?
- Write the Hardy-Weinberg equation:
- Dominant allele “R” has a frequency (p) of 0.45 in a particular gene pool. Calculate the following showing all your work and using the proper variables for each value (e.g. p, q, p2, q2, 2pg).
- The frequency of allele “r” in that same gene pool?
- The proportion of the population that has the genotype RR.
- The proportion of the population that has the genotype Rr.
- The proportion of the population that has the genotype rr.
- If 17% of a population displays the recessive trait for Disease B, what are the frequencies of the recessive allele “b” and the dominant allele “B” in the gene pool?
- You perform an experiment where you allow a large population of fruit flies to mate randomly. The parental generation had 30% homozygous recessive genotypes. The F1 generation consisted of 100 flies, 40 of which displayed the recessive trait. Calculate the expected values for each phenotype assuming Hardy-Weinberg equilibrium, then fill in the table below and use the Chi-Square test instructions document (posted online) to compare your calculated X2 value with the tabulated X2 value for a P-value of 0.05.
| # of dominant phenotypeindividuals | # of recessive phenotype individuals | |
| Observed value (o) | ||
| Expected value (e) | ||
| Deviation (o – e) = d | ||
| d2 | ||
| d2/e | ||
| Calculated Chi-square (X2) = Σd2/e | ||
| Degrees of Freedom | ||
| Tabulated X2 value at P=0.05
(from X2 instructions document) |
||
- According to your analysis above, are the observed proportion of genotypes in the F1 generation the same, or significantly different, than those expected according to the H-W theorem?
- If you allowed your F1 generation to mate, what would you expect the frequency of the recessive allele (q) to be in the F2 generation, assuming the H-W theorem applies?
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