Do the observed numbers of the genotypes shown below significantly differ from HWE? Do a Chi...
Do the observed numbers of the genotypes shown below significantly differ from HWE? Do a Chi Square test (1 d.f. X2 = 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
Homework Answers
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=0.552 =0.3025
expected proportion of FS =2*0.55*0.45=0.495
expected proportion of SS =0.452 =0.2025
below is chi square goodness of fit test:
| relative | observed | Expected | residual | Chi square | |
| category | frequency | Oi | Ei=total*p | R2i=(Oi-Ei)/√Ei | R2i=(Oi-Ei)2/Ei |
| 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
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