please include as many decimals as possible

Suppose you have a box with a very large number of orange and blue beads. You want to estimate the proportion p of orange beads in the box and you want to be 92% confident that your point estimate, which is the sample proportion p^, is within 7% of the true proportion p.

Find the appropriate sample size.

The appropriate sample size is n=____?

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 46 of the n=101

mosquitoes have fed on mammals.

Use the R function binom.test() to find the following 94% confidence intervals for the proportion of blood meals taken from mammals by the species Ae. vexans.

(a) The 94% two-sided confidence interval ranges from Answer to Answer.

(b) The 94% lower-bound confidence interval ranges from Answer to 1.

(c) The 94% upper-bound confidence interval ranges from 0

to Answer .

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

(d) The 94% two-sided confidence interval ranges from Answer to Answer.

(e) The 94% lower-bound confidence interval ranges from Answer to 1.

(f) The 94% upper-bound confidence interval ranges from 0

to

Answer

.