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In carrying out crosses with the nematode Caenorhabditis elegans, a geneticist h

ID: 187023 • Letter: I

Question

In carrying out crosses with the nematode Caenorhabditis elegans, a geneticist hypothesizes that the allele for dumpy body shape (dpy) is recessive to the allele for normal body (dpy+), and the allele for uncoordinated (unc) is recessive to the coordinated body movement allele (unc+). Moreover, she hypothesizes that these two genes are unlinked (i.e., they assort independently). In a mating between a normal bodied, coordinated worm and a dumpy, uncoordinated worm, all of the F1 worms were normal bodied and coordinated in their movements. Selfing these F1's (it should be noted here that C. elegans are capable of self- fertilization) yielded an F2 generation with the following phenotypes:

o normal body, coordinated 95

o normal body, uncoordinated 21

o dumpy body, coordinated 19

o dumpy body, uncoordinated 25

TOTAL 160

a. What is the expected ratio and number of each class of F2 worms for this cross?

b. Determine the Chi-square (X2) value for the observed data under the proposed hypothesis.

c. What is the probability value for this Chi-square value?

d. Do these data support the hypothesis that these loci are unlinked? Explain.

Explanation / Answer

Answer:

Based on the given information:

F1: dpy+ unc+ x dpy unc

Progeny are all: dpy+ dpy unc+ unc

F2 Self cross:  dpy+ dpy unc+ unc x dpy+ dpy unc+ unc

Punnett Square for F2 cross:

Phenotype:

Phenotypic ratio 9:3:3:1

Chi Square Test:

Degree of freedom = number of categories - 1 = 4 - 1 = 3

P-Value corresponding to Chi square value of 29.511 with 3 degree of freedom is P-Value is < 0.00001.

The result is significant at a significance level of 0.05. Therefore Null Hypothesis is rejected. Based on the evidence, there is significant difference in observed frequency from expected frequency.

dominant recessive normal body dpy+ dpy dumpy body coordinated body movement unc+ unc uncoordinated body movement
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