Cavalli-Sforza et al observed the following genotype ratios from a sample of 12,
ID: 213722 • Letter: C
Question
Cavalli-Sforza et al observed the following genotype ratios from a sample of 12,387 individuals:Genotype Expected HW Freq Observed HW Freq
AA 9525.6 9365
AS 2675.6 2993
SS 185.8 29
Total 12,387 12,387
Conduct a Chi-Square test to determine if the observed genotype frequencies were in HW equilibrium, using df = 1, alpha level of significance = 0.05. Cavalli-Sforza et al observed the following genotype ratios from a sample of 12,387 individuals:
Genotype Expected HW Freq Observed HW Freq
AA 9525.6 9365
AS 2675.6 2993
SS 185.8 29
Total 12,387 12,387
Conduct a Chi-Square test to determine if the observed genotype frequencies were in HW equilibrium, using df = 1, alpha level of significance = 0.05. Cavalli-Sforza et al observed the following genotype ratios from a sample of 12,387 individuals:
Genotype Expected HW Freq Observed HW Freq
AA 9525.6 9365
AS 2675.6 2993
SS 185.8 29
Total 12,387 12,387
Conduct a Chi-Square test to determine if the observed genotype frequencies were in HW equilibrium, using df = 1, alpha level of significance = 0.05.
Explanation / Answer
Null hypothesis: The observed values are not deviating from the expected values.
Test static: Chisquare
Category
AA
AS
SS
Observed values
9365
2993
29
12387
Exprected Values
9525.6
2675.6
185.8
12387
Deviation
-160.6
317.4
-156.8
D^2
25792.36
100742.8
24586.24
151121.4
D^2/E
2.71
37.65
132.33
172.6865
X^2
172.69
Degrees of freedom
1
Inference: The calculated chisquare value i.e. 172.69 is greater than the table value i.e 3.84 at 1 DF and 0.05 probability, hence the null hypothesis is rejected. Which means the observed values are deviated from the expected values.
Category
AA
AS
SS
Observed values
9365
2993
29
12387
Exprected Values
9525.6
2675.6
185.8
12387
Deviation
-160.6
317.4
-156.8
D^2
25792.36
100742.8
24586.24
151121.4
D^2/E
2.71
37.65
132.33
172.6865
X^2
172.69
Degrees of freedom
1
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