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Let A and B represent two variants (alleles) of the DNA at
Chapter 3, Problem 6SE(choose chapter or problem)
Let \(A\) and \(B\) represent two variants (alleles) of the DNA at a certain locus on the genome. Let \(p\) represent the proportion of alleles in a population that are of type \(A\), and let \(q\) represent the proportion of alleles that are of type \(B\). The Hardy–Weinberg equilibrium principle states that the proportion \(P_{A B}\) of organisms that are of type \(AB\) is equal to \(pq\). In a population survey of a particular species, the proportion of alleles of type \(A\) is estimated to be \(0.360 \pm 0.048\) and the proportion of alleles of type \(B\) is independently estimated to be \(0.250 \pm 0.043\).
a. Estimate the proportion of organisms that are of type \(AB\), and find the uncertainty in the estimate.
b. Find the relative uncertainty in the estimated proportion.
c. Which would provide a greater reduction in the uncertainty in the proportion: reducing the uncertainty in the type \(A\) proportion to 0.02 or reducing the uncertainty in the type \(B\) proportion to 0.02?
Equation Transcription:
Text Transcription:
A
B
p
q
P_AB
AB
pq
0.360 pm 0.048
0.250 pm 0.043
Questions & Answers
QUESTION:
Let \(A\) and \(B\) represent two variants (alleles) of the DNA at a certain locus on the genome. Let \(p\) represent the proportion of alleles in a population that are of type \(A\), and let \(q\) represent the proportion of alleles that are of type \(B\). The Hardy–Weinberg equilibrium principle states that the proportion \(P_{A B}\) of organisms that are of type \(AB\) is equal to \(pq\). In a population survey of a particular species, the proportion of alleles of type \(A\) is estimated to be \(0.360 \pm 0.048\) and the proportion of alleles of type \(B\) is independently estimated to be \(0.250 \pm 0.043\).
a. Estimate the proportion of organisms that are of type \(AB\), and find the uncertainty in the estimate.
b. Find the relative uncertainty in the estimated proportion.
c. Which would provide a greater reduction in the uncertainty in the proportion: reducing the uncertainty in the type \(A\) proportion to 0.02 or reducing the uncertainty in the type \(B\) proportion to 0.02?
Equation Transcription:
Text Transcription:
A
B
p
q
P_AB
AB
pq
0.360 pm 0.048
0.250 pm 0.043
ANSWER:Solution:
Step1 of 4:
A and B represents two alleles of a DNA at a certain locus on the genome.Let p represents the proportion of alleles in a population that are type of A, and let Q represents the proportion of alleles that are type of B.The Hardy- Weinberg equilibrium principle states that the proportion PAB of organism is equal to pq. In a survey the proportion of alleles of type is estimated as
0.3600.048 and the proportion of alleles of type B is 0.250
.
We have to find
- The estimate of the proportion of organisms that are type of AB, and the uncertainty in the estimate.
- The relative uncertainty in the estimated proportion.
- Which would provide a greater reduction in the uncertainty in the proportion:reducing the uncertainty in the type A proportion to 0.02 or reducing the uncertainty in the type B proportion to 0.02.