Do the observed numbers of the genotypes shown below significantly differ from HWE? Do a Chi Square test (1 d.f. X^{2} = 3.84 at for p < 0.05). Show your table, use 4 significant digits, and clearly state your conclusion.
FF = 36
FS = 38
SS = 26
here proprotion of F allele =(36+36+38)/200=0.55
and that of S allele =1-0.55=0.45
hence expected proportion of FF=0.55^{2} =0.3025
expected proportion of FS =2*0.55*0.45=0.495
expected proportion of SS =0.45^{2} =0.2025
below is chi square goodness of fit test:
relative | observed | Expected | residual | Chi square | |
category | frequency | O_{i} | E_{i}=total*p | R^{2}_{i}=(O_{i}-E_{i})/√E_{i} | R^{2}_{i}=(O_{i}-E_{i})^{2}/E_{i} |
FF | 0.303 | 36 | 30.25 | 1.05 | 1.093 |
FS | 0.495 | 38 | 49.50 | -1.63 | 2.672 |
SS | 0.203 | 26 | 20.25 | 1.28 | 1.633 |
total | 1.000 | 100 | 100 | 5.397 |
as test statistic 5.3974 is higher then critical value 3.84 ; therefore we reject null hypothesis and conclude that observed numbers of the genotypes shown below significantly differ from HWE
Do the observed numbers of the genotypes shown below significantly differ from HWE? Do a Chi...
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