Question

Will Be Given on Exam: p + q = 1 p = AA + ½Aa q...

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

Homework Answers

Answer #1

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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