chi squared test for linkage

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
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15

A wild-type fruit fly is crossed to a fly that is homozygous for recessive
mutations in two different genes resulting in wingless and eyeless phenotypes.
The F1 generation is 100% phenotypically wild type. F1 flies are mated together
to produce the following F2 generation:
wild type: 367
wingless (normal eyes): 119
eyeless (normal wings): 134
eyeless and wingless: 52
In a chi squared test for linkage between the eyeless and wingless mutations,
how many wingless F2 offspring with normal eyes are expected according to the
null hypothesis?
126
168
134
119
Transcribed Image Text:A wild-type fruit fly is crossed to a fly that is homozygous for recessive mutations in two different genes resulting in wingless and eyeless phenotypes. The F1 generation is 100% phenotypically wild type. F1 flies are mated together to produce the following F2 generation: wild type: 367 wingless (normal eyes): 119 eyeless (normal wings): 134 eyeless and wingless: 52 In a chi squared test for linkage between the eyeless and wingless mutations, how many wingless F2 offspring with normal eyes are expected according to the null hypothesis? 126 168 134 119
Expert Solution
Step 1: Understanding Chi-Squared Test and Null Hypothesis

In genetics, we employ a statistical technique known as the chi-squared test for linkage to investigate whether two genes behave independently during inheritance or if they are connected on the same chromosome. The underlying assumption of the null hypothesis is that these genes segregate independently, indicating that the presence or absence of one gene doesn't influence the presence of the other.

In simpler terms, this test helps us decipher whether these genes are intertwined or act as if they are situated on entirely separate chromosomes. Our evaluation hinges on a comparison between the actual phenotypic ratios observed in the F2 generation and the expected ratios assuming independent assortment. A noteworthy disparity between the observed and expected ratios signifies potential linkage between the genes. To quantify this difference, we employ the chi-squared statistic, which gauges the extent of deviation between observed and expected outcomes, ultimately guiding our determination regarding the linkage of these genes.

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