Question
Gregor Johann Mendel, the Father of genetics, conducted his groundbreaking experiments with peas. The table below...
Gregor Johann Mendel, the Father of genetics, conducted his groundbreaking experiments with peas. The table below shows the results of one of his experiments (adapted from Cramer, 1999). With a sample of peas, the characteristics were distributed as follows: ------------------------------- Phenotype Number ------------------------------- Round and Yellow 315 Round and Green 108 Angular and yellow 101 Angular and Green 32 ------------------------------- Test the hypothesis that the distribution of characteristics in the sample points to a population where phenotype distribution is random. Briefly describe the result of the test (one or two sentences is sufficient).
Homework Answers
Answer #1
Assuming the distribution of characteristics is random, Expected Frequency of each characteristic = 556/4=139.
Chi Squre Table is formed as follows:
| O | E | (O - E)2/E |
| 315 | 139 | 222.8489 |
| 108 | 139 | 6.9137 |
| 101 | 139 | 10.3885 |
| 32 | 139 | 82.3889 |
Total = 
|
322.54 | |
ndf = 4- 1 = 3
Take 
= 0.05
From Table, critical value of
= 7.82
Since calculated value of
is greater than critical value of
, the difference is significant. Reject null hypothesis.
Conclusion:
The data do not support the claim that the distribution of characteristics in the sample points to a population where phenotype distribution is random.
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