Will Be Given on Exam: p + q = 1 p = AA + ½Aa q = aa + ½Aa p2 + 2pq + q2 = 1 (p + q)2 = 1 X2 = [(observed - expected)2 / expected] X2 2, 0.05 = 6.00
1) Blue eyes are a homozygous recessive genotype within humans. Within the human population, you have 225 individuals with blue eyes, 480 individuals that are homozygous dominant for brown eyes, and 125 people that are heterozygous for brown eyes.
a. Calculate the observed allelic frequency of the gene encoding blue eyes (b) and the gene encoding brown eyes (B).
b. Calculate the observed genotypic frequencies.
c. Calculate the expected genotypic frequencies.
d. Without conducting the Chi-Square yet, do you think this population is in Hardy-Weinberg equilibrium? Why or why not?
e. Confirm or refute your prediction using the Chi-Square Test
blue eyes homozygous recessive genotype(q^2),aa=225
homozygous dominant for brown eyes(p^2),AA=480
heterozygous for brown eyes(2pq),Aa=125
total=225+480+125=830
p = AA + ½Aa
p=(480+(1/2)*125)/830=0.6536
q = aa + ½Aa
q=(225+(1/2)*125)/830=0.3464
p^2=0.4272
q^2=0.1200
2pq=0.4528
chi square test-
Categories | Observed | Expected | (fo-fe)2/fe |
homozygous dominant | 480 | 830*0.4272=354.576 | (480-354.576)2/354.576 = 44.366 |
homozygous recessive genotype | 225 | 830*0.12=99.6 | (225-99.6)2/99.6 = 157.883 |
heterozygous | 125 | 830*0.4528=375.824 | (125-375.824)2/375.824 = 167.399 |
Sum = | 830 | 830 | 369.649 |
null hyp:there is no significant differences between expected and observed gene frequencies
alternate hyp:Some of the population proportions differ from the values stated in the null hypothesis
there is no significant differences between expected and observed gene frequencies.
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