Please make a conclusion for this, thank you so much! :) An ear of corn has a total of 381 grains, including 216 Purple & Smooth, 79 Purple & Shrunken, 65 Yellow & Smooth, and 21 Yellow & Shrunken. This ear of corn was produced by a dihybrid cross (PpSs x PpSs) involving two pairs of heterozygous genes resulting in a theoretical (expected) ratio of 9:3:3:1. Test your hypothesis using chi square.
Please make a conclusion for this, thank you so much! :)
- An ear of corn has a total of 381 grains, including 216 Purple & Smooth, 79 Purple & Shrunken, 65 Yellow & Smooth, and 21 Yellow & Shrunken. This ear of corn was produced by a dihybrid cross (PpSs x PpSs) involving two pairs of heterozygous genes resulting in a theoretical (expected) ratio of 9:3:3:1. Test your hypothesis using chi square.
H0 = outcome will always be at a 9:3:3:1 ratio
H1 = outcome will not follow 9:3:3:1 ratio
|
Grain Phenotype |
Observed number |
Observed Ratio |
Expected Ratio |
Expected Number |
(Observed no. – Expected no.) ^2 / Expected number |
|
Purple and smooth |
216 |
10.3 |
9 |
381x 9/16 = 214 |
(216-214) ^2 = 4/214 = 0.019 |
|
Purple and shrunken |
79 |
3.8 |
3 |
381x 3/16 = 71 |
(79-71) ^2 = 64/71 = 0.901 |
|
Yellow and smooth |
65 |
3.1 |
3 |
381x 3/16 = 71 |
(65-71) ^2 = 36/71 = 0.507 |
|
Yellow and shrunken |
21 |
21 |
1 |
381x 1/16 = 24 |
(21-24) ^2 = 9/24 = 0.375 |
|
Total = 381 |
Chi Square Value = 1.80 |
Degrees of freedom = number of
4 -1 = 3
df = 3
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