In a trial of 75patients who received 10-mg doses of a drug daily,27reported headache as a side effect. Use this information to complete parts (a) through (d) below.

(a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect.ModifyingAbove p with caretpequals=. 36.36(Round to two decimal places as needed.)(b) Verify that the requirements for constructing a confidence interval about p are satisfied.Are the requirements for constructing a confidence satisfied?

A.

Yes, the requirements for constructing a confidence interval are satisfied.

B.

No, the requirement that the sample size is no more than 5% of the population is not satisfied.

C.

No, the requirement that each trial be independent is not satisfied.

D.

No, the requirement that n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1pis greater than 10 is not satisfied.(c) Construct a 99%confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.The 99%confidence interval is (nothing,nothing).(Round to three decimal places as needed.)(d) Interpret the confidence interval. Which statement below best interprets the interval?

A.

We are 99%confident that the interval does not contain the true value of p.ofp.

B.

There is a 99%chance that the true value of p will not fall in the interval.

C.

We are 99%confident that the interval contains the true value of p.

D.

There is a 99%chance that the true value of p will fall in the interval.