In a trial of 213 patients who received 10-mg doses of a drug daily, 34 reported

Question

In a trial of 213 patients who received 10-mg doses of a drug daily, 34 reported 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.

p=_______

(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 n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1p is greater than 10 is not satisfied.

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

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

(c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.

The 95% confidence interval is (________, _______).

(Round to three decimal places as needed.)

(d) Interpret the confidence interval. Which statement below best interprets the interval?

A.We are 95% confident that the interval contains the true value of p.

B.We are 95% confident that the interval does not contain the true value of p.of p.

C.There is a 95% chance that the true value of p will fall in the interval.

D. There is a 95% chance that the true value of p will not fall in the interval.

Explanation / Answer

A ) point estimate = 34/213.=0.1596

B ) np =213*0.15 > 10

and n(1-p) > 10

so yes a) is the answer

C ) 95% CI = (0.15- 1.96*sqrt(0.15*(1-0.15)/213) , 0.15+1.96*sqrt(0.15*(1-0.15)/213)

= (0.1020 , 0.1979)

D) c) There is a 95% chance that the true value of p will fall in the interval. is the answer

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