IDNLearn.com provides a user-friendly platform for finding and sharing accurate answers. Get accurate and timely answers to your queries from our extensive network of experienced professionals.
Sagot :
Okay, let's work through this step-by-step:
Given information:
Total population size: 50 mice
30 black (dominant) mice
20 white (recessive) mice
Step 1: Calculate the allelic frequencies.
The alleles for coat color in this case are B (black) and b (white).
Frequency of B allele = (2 × Number of BB) + (Number of Bb) / (2 × Total population size)
Frequency of B allele = (2 × 15) + 15 / (2 × 50) = 0.6
Frequency of b allele = (2 × Number of bb) + (Number of Bb) / (2 × Total population size)
Frequency of b allele = (2 × 20) + 15 / (2 × 50) = 0.4
Step 2: Calculate the genotypic frequencies.
BB = 15 / 50 = 0.3
Bb = 15 / 50 = 0.3
bb = 20 / 50 = 0.4
Step 3: Validate the results using the chi-square test.
Null hypothesis (H0): The observed genotypic frequencies are consistent with the Hardy-Weinberg equilibrium.
Alternative hypothesis (H1): The observed genotypic frequencies are not consistent with the Hardy-Weinberg equilibrium.
Expected frequencies:
p^2 (BB) = (0.6)^2 = 0.36
2pq (Bb) = 2 × 0.6 × 0.4 = 0.48
q^2 (bb) = (0.4)^2 = 0.16
Chi-square statistic:
χ^2 = Σ [(Observed - Expected)^2 / Expected]
χ^2 = [(15 - 18)^2 / 18] + [(15 - 24)^2 / 24] + [(20 - 8)^2 / 8]
χ^2 = 0.5 + 4.5 + 9
χ^2 = 14
Degrees of freedom = 3 - 1 = 2
At a significance level of 0.05, the critical value of χ^2 with 2 degrees of freedom is 5.991.
Since the calculated χ^2 value (14) is greater than the critical value (5.991), we reject the null hypothesis. The observed genotypic frequencies are not consistent with the Hardy-Weinberg equilibrium.
In summary:
Allelic frequencies:
B = 0.6
b = 0.4
Genotypic frequencies:
BB = 0.3
Bb = 0.3
bb = 0.4
The chi-square test indicates that the observed genotypic frequencies are not consistent with the Hardy-Weinberg equilibrium.
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.
