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In Soreflies (A Hypothetical Insect), the Dominant Allele, L, Is

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In soreflies (a hypothetical insect) , the dominant allele, L, is responsible for resistance to a common insecticide called Loritol. Another dominant allele, M, is responsible for the ability of soreflies to sing like birds. A true-breeding mute, Loritol-resistant sorefly, was mated to a true-breeding singing, Loritol-sensitive sorefly, and the singing, Loritol-resistant female progeny were testcrossed with true-breeding wild-type (i.e., mute, Loritol-sensitive) males. Of the 400 total progeny produced, 117 were mute and Loritol-resistant, 114 could sing and were Loritol-sensitive, 83 could sing and were Loritol-resistant, and 86 were mute and Loritol-sensitive. A chi-square test is done to determine if there is equal segregation of alleles at the L locus. What will be the chi-square value obtained and how many degrees of freedom would be used to interpret this value?


Definitions:

Simple Events

A simple event is an outcome or event that cannot be further broken down into simpler components within the context of a probability experiment.

Experiment

A carefully controlled procedure undertaken to discover, test, or demonstrate a hypothesis or the effects of one variable on another.

Sample Space

The set of all possible outcomes of a probability experiment.

Tree Diagram

A graphical representation of all possible outcomes of a sequence of events, each branching out from the previous one.

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