Please note that all the questions are part of one question. So, please answer a
ID: 205169 • Letter: P
Question
Please note that all the questions are part of one question. So, please answer all of them and show your work as well. Thanks in advance!
Question 1
Part 1
You survey a population of cotton rats at the Coastal Center for variation at a SNP locus. You find 30 individuals that are A/A, 71 are A/G and 67 are G/G. what is the frequency of the A allele in this population?
Part 2
For the population in the previous question, what will the frequency of the A allele be when the population is in Hardy Weinberg equilibrium?
Part 3
When the population in Question 1 is in Hardy Weinberg Equilibrium, what will be the frequency of heterozygous individuals?
Part 4
Is the population in Question 1 in Hardy-Weinberg equilibrium? For your answer, also give the value of the chi-square statistic, the degrees of freedom, the p-value (use the table in your text).
Part 5
In the current population, as described in Question 1, what would be the frequency of mating between A/A and A/G individuals?
Explanation / Answer
Part 1:
The freequency of A allele : 0.39
Part 2
The freequency of A allele : 0.39
Part 3
The vfrequency of heterozygous individuals = 80
Part 4
Null hypothesis: The observed values are not deviating from the expected values.
Test static:
Category
AA
AG
GG
Observed values
30
71
67
168
Exprected Values
25
80
63
168
Deviation
5
-9
4
0
D^2
25
81
16
122
D^2/E
1
1.0125
0.253968
2.266468
X^2
2.266468
Degrees of freedom
1
Inference: The calculated chisquare value i.e. 2.266 is less than the table value i.e. 3.84 at 1 DF and 0.05 probability, hence the null hypothesis accepted.
For answers find the below calculations
Genotype
Freequency
Allele A
Allele G
Total
AA
30
60
0
60
AG
71
71
71
142
GG
67
0
134
134
Total
168
131
205
336
Allele A
= 131/ 336
0.39
Allele G
= 205 / 336
0.61
After HW equilibrium
AA
= 0.39 * 0.39 = 0.152
X 168 = 25
AG
= 2 * 0.39 *0.61 = 0.476
X 168 = 80
GG
= 0.61 *0.61 = 0.372
X 168 = 63
Genotype
Freequency
Allele A
Allele G
Total
AA
25
50
0
50
AG
80
80
80
160
GG
63
0
126
126
Total
168
130
206
336
Allele A
= 130 / 336
0.39
Allele G
= 206 / 336
0.61
Category
AA
AG
GG
Observed values
30
71
67
168
Exprected Values
25
80
63
168
Deviation
5
-9
4
0
D^2
25
81
16
122
D^2/E
1
1.0125
0.253968
2.266468
X^2
2.266468
Degrees of freedom
1
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