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 61 of the n=107

mosquitoes have fed on mammals.

Use the R function binom.test() to find the following 91% confidence intervals for the proportion of blood meals taken from mammals by the species Ae. vexans.

(a) The 91% two-sided confidence interval ranges from Answer to Answer.

(b) The 91% lower-bound confidence interval ranges from Answer to 1.

(c) The 91% upper-bound confidence interval ranges from 0

to Answer .

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

(d) The 91% two-sided confidence interval ranges from Answer to Answer.

(e) The 91% lower-bound confidence interval ranges from Answer to 1.

(f) The 91% upper-bound confidence interval ranges from 0

to Answer .

Explanation / Answer

> binom.test(x=61,n=107,conf.level=0.91)

Exact binomial test

data: 61 and 107
number of successes = 61, number of trials = 107, p-value = 0.1756
alternative hypothesis: true probability of success is not equal to 0.5
91 percent confidence interval:
0.4835379 0.6535247
sample estimates:
probability of success
0.5700935

(a) The 91% two-sided confidence interval ranges from 0.4835379 to 0.6535247.

(b) The 91% lower-bound confidence interval ranges from 0.4835379 to 1.

(c) The 91% upper-bound confidence interval ranges from 0 to 0.6535247.

> prop.test(x=61,n=107,conf.level=0.91)

1-sample proportions test with continuity correction

data: 61 out of 107, null probability 0.5
X-squared = 1.8318, df = 1, p-value = 0.1759
alternative hypothesis: true p is not equal to 0.5
91 percent confidence interval:
0.4835150 0.6527962
sample estimates:
p
0.5700935

(d) The 91% two-sided confidence interval ranges from 0.4835150 to 0.6527962.

(e) The 91% lower-bound confidence interval ranges from 0.4835379 to 1.

(f) The 91% upper-bound confidence interval ranges from 0 to 0.6535247.

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