A true breeding dominant plant (colored, green) is crossed with a true breeding recessive plant (colorless,...
A true breeding dominant plant (colored, green) is crossed with a true breeding recessive plant (colorless, yellow). The F1’s are then intercrossed to give the following F2 results:
colored, green (C_G_) 180
colored, yellow (C_gg) 28
colorless, green (¢¢G_) 20
colorless, yellow (¢¢gg) 188
Perform a Chi-square test to determine whether the genes are linked or unlinked.
What is your X2 value?
Homework Answers
Chi-Squared Tests
Chi-squared test is the statistical method which is used for the determination of the difference between an observed and expected frequency distribution of a true breeding dominant plant (colored, green) is crossed with a true breeding recessive plant (colorless, yellow).
The trait for colored, green (C_G_) is dominant over colorless, yellow (¢¢gg)
Obseved (O)
colored, green (C_G_) 180
colored, yellow (C_gg) 28
colorless, green (¢¢G_) 20
colorless, yellow (¢¢gg) 188
Expected (E)
colored, green (C_G_) 234 (416x9/16)
colored, yellow (C_gg) 78 (416x3/16)
colorless, green (¢¢G_) 78 (416x3/16)
colorless, yellow (¢¢gg) 26 (416x1/16)
Now we can calculate the chi-squared test by the following formula:
X2=(O-E)2/E
Now we can calculat O-E for each-
colored, green (C_G_) (-54)
colored, yellow (C_gg) (-50)
colorless, green (¢¢G_) (-58)
colorless, yellow (¢¢gg) (162)
Now we can calculate (O-E)2/E for each
colored, green (C_G_) (12.46)
colored, yellow (C_gg) (32.05)
colorless, green (¢¢G_) (43.12)
colorless, yellow (¢¢gg) (1009)
X2= (12.46 + 32.5 + 43.12 + 1009) = 1096.63
A chi-squared test require 2 hypotheses:
Null hypothesis (H0): If there is no significany in between the observed and expected frequencies of the trait then the genes are said to be unlinked.
§ Alternative hypothesis (H1): If there is a significany in between the observed and expected frequencies of the trait then the genes are said to be linked.
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