We appreciate your visit to In a certain population data was collected on individuals affected with vitiligo an autosomal recessive skin condition affecting pigmentation The possible genotypes are WW normal. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
Since the observed and expected genotype frequencies are not significantly different, the population is likely in Hardy-Weinberg equilibrium. So, the correct answer is: A) Yes, the population is in Hardy-Weinberg equilibrium.
Explanation:
In order to determine if the population is in Hardy-Weinberg equilibrium, we need to compare the observed genotype frequencies with the expected frequencies based on the Hardy-Weinberg principle.
1. Calculate the total number of individuals:
Total = W + Vv + vv = 68 + 31 + 12 = 111
2. Calculate the allele frequencies:
- Frequency of allele W (p): 68 (2 alleles per individual) = 136 alleles / 222 total alleles = 0.6126
- Frequency of allele v: 31 (1 allele per individual) + 12 (2 alleles per individual) = 55 alleles / 222 total alleles = 0.2477
3. Calculate the expected genotype frequencies under Hardy-Weinberg equilibrium:
- Frequency of WW: p^2 = (0.6126)^2 = 0.3754
- Frequency of Vv: 2pq = 2 * 0.6126 * 0.2477 = 0.3032
- Frequency of vv: q^2 = (0.2477)^2 = 0.0614
4. Calculate the expected number of individuals with each genotype:
- Expected WW individuals = 0.3754 * 111 ≈ 41.66
- Expected Vv individuals = 0.3032 * 111 ≈ 33.63
- Expected vv individuals = 0.0614 * 111 ≈ 6.81
5. Compare the expected and observed frequencies:
- WW: Observed = 68, Expected ≈ 41.66
- Vv: Observed = 31, Expected ≈ 33.63
- vv: Observed = 12, Expected ≈ 6.81
The observed and expected genotype frequencies are not significantly different.
Correct answer: A) Yes, the population is in Hardy-Weinberg equilibrium.
Complete question:
In a certain population, data was collected on individuals affected with vitiligo, an autosomal recessive skin condition affecting pigmentation. The possible genotypes are: W (normal skin pigmentation), Vv (carrier for vitiligo), and w (vitiligo). The following data was collected. Is the population in Hardy-Weinberg equilibrium? W= 68 Vv=31 vv= 12
- A.Yes, the population is on Hardy-Weinberg equilibrium
- B.No, the population is not in Hardy-Weinberg equilibrium
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