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Suppose we randomly sample 400 nucleotides from the human genome. (Consider only a single strand.) Does the occurrence of adenine, thiamine, cytosine and guanine (A, C, T and G) in this sample suggest that nucleotides in the human genome follow a uniform distribution?
Use a χ2 test with a significance level of α=0.01 to test the following hypotheses:
The data obtained was:
A
C
T
G
Count
90
110
85
115
(a) Calculate the value of the appropriate test statistic.
(b) State the critical value for this test, and your statistical decision. Are your results valid?
Note: Even if A, C, T and G follow a uniform distribution in the human genome that does not mean that nucleotides occur randomly! Even with a uniform distribution, certain patterns can (and do) occur.
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