Question

use hardy wineberg equation to find equilbrium.

AA 150. Aa 120. aa 90

Answer 1

The steps involved here

Step 1: Calculation number of alleles

Genotype	Freequency	Allele A	Allele a	Total
AA	150	300	0	300
Aa	120	120	120	240
aa	90	0	180	180
Total	360	420	300	720

Step 2: Calculation of allele frequencies

Frequency = No of a alleles/Total no of alleles

Allele A	= 420/720	= 0.58
Allele a	= 300/720	= 0.42

Step 3: Expected genotype frequencies estimation

AA	= 0.58*0.58= 0.340	*360= 123
Aa	= 2*0.58* 0.42= 0.486	*360= 175
aa	0.42*0.42= 0.174	*360= 63

Step 4: Chi-square test

Null hypothesis: The observed values are not deviating from the expected values.

Category	AA	Aa	aa
Observed values	150	120	90
Exprected Values	123	175	63
Deviation	28	-55	28
D^2	756.25	3025	756.25
D^2/E	6.17	17.29	12.10	35.56
X^2	35.56
Degrees of freedom	2

Inference: The calculated chisquar value i.e. 35.56 is greater than the table value i.e.5.99 at 2 DF and 0.05 probability, hence the null hypothesis is rejected. Which means the population in not in HW equilibrium.