Occurrence of adenine-thiamine

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Reference no: EM131319854

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:

  • H0:pA=pC=pT=pG=0.25. (pAis the proportion of adenine in the human genome.)
  • HA:At least one ofpA,pC,pT,pGis not0.25.

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.

Reference no: EM131319854

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