Ribosomal 5S RNA can be represented as a sequence of 120 nucleotides. Each nucleotide can be ...

  

Ribosomal 5S RNA can be represented as a sequence of 120 nucleotides. Each nucleotide can be represented by one of four characters: A (adenine), G (guanine), C (cytosine), or U (uracil). The characters occur with different probabilities for each position. We wish to test if a new sequence is the same as ribosomal 5S RNA. For this purpose, we replicate the new sequence 100 times and find there are 60 A’s in the 20th position.

Suppose that the probability of an “A” in the 20th position is 0.79 in ribosomal 5S RNA. Test the hypothesis that the new sequence is the same as ribosomal 5S RNA.

a)  Write hypotheses. Explain why you should use a two sided alternative.

b)  Conduct your test. Show all steps.

c)  Write a sentence giving your conclusion in context.

d)  Explain carefully what your p-value means.