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Multiple Choice
Given the following allele frequencies for a gene in four different populations, which two populations are most closely related?- Population A: $p = 0.7$, $q = 0.3$- Population B: $p = 0.68$, $q = 0.32$- Population C: $p = 0.45$, $q = 0.55$- Population D: $p = 0.20$, $q = 0.80$A) Populations A and BB) Populations A and CC) Populations B and DD) Populations C and D
A
Populations C and D
B
Populations A and C
C
Populations A and B
D
Populations B and D
Verified step by step guidance
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Step 1: Understand the problem. The goal is to determine which two populations are most closely related based on allele frequencies. Allele frequencies (p and q) represent the proportion of dominant and recessive alleles in a population, respectively. Populations with similar allele frequencies are considered more closely related.
Step 2: Compare allele frequencies between populations. For each pair of populations, calculate the difference in allele frequencies for both p and q. For example, for Population A and Population B, calculate the absolute difference: |p_A - p_B| and |q_A - q_B|.
Step 3: Sum the differences for each pair of populations. For example, for Population A and Population B, the total difference is: |p_A - p_B| + |q_A - q_B|. Repeat this calculation for all pairs of populations (A and C, A and D, B and C, B and D, C and D).
Step 4: Identify the pair of populations with the smallest total difference. The smaller the total difference, the more closely related the populations are in terms of allele frequencies.
Step 5: Based on the calculations, determine which pair of populations has the smallest difference and conclude that these populations are the most closely related.