Control of the disease caused by the Eastern Equine Encephalomyelitis (EEE) viru

Question

Control of the disease caused by the Eastern Equine Encephalomyelitis (EEE) virus requires a good understanding of which vectors are most important in transmitting the EEE virus to the different hosts. There are six species of mosquitoes in Alabama carrying this virus. A DNA analysis of a sample of blood-engorged female mosquitoes of the species Ae. vexans shows that 51 of the n=146

mosquitoes have fed on mammals.

Use the R function binom.test() to find the following 97% confidence intervals for the proportion of blood meals taken from mammals by the species Ae. vexans.

(a) The 97% two-sided confidence interval ranges from

____to____?

(b) The 97% lower-bound confidence interval ranges from

_____to 1.

(c) The 97% upper-bound confidence interval ranges from

0 to____?

Now calculate the following confidence intervals using the R function prop.test().

(d) The 97% two-sided confidence interval ranges from

____to____?

(e) The 97% lower-bound confidence interval ranges from

____to 1.

(f) The 97% upper-bound confidence interval ranges from
0 to ____?

**Could you please work through this problem step by step. Using the exact numbers from the problems in the formulas would be helpful.**

Explanation / Answer

(a)

R code:

binom.test(51,146,0.5,"t",0.97)

Output:

The 97% confidence interval is 0.2648632 to 0.4412232

(b)

R code:

binom.test(51,146,0.5,"g",0.97)

Output:

The 97% confidence interval is 0.2752013 to 1.

(c)

R code:

binom.test(51,146,0.5,"l",0.97)

Output:

The 97% confidence interval is 0 to 0.4292581.

(d)

R code:

prop.test(51,146,0.5,"t",0.97)

Output:

The 97% confidence interval is 0.2664863 to 0.4419310

(e)

R code:

prop.test(51,146,0.5,"g",0.97)

Output:

The 97% confidence interval is 0.2762874 to 1.

(f)

R code:

prop.test(51,146,0.5,"l",0.97)

Output:

The 97% confidence interval is 0 to 0.4297965.

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