Question

In a trial of 233 patients who received 10-mg doses of a drug daily, 49 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. n= (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? O A. Yes, the requirements for constructing a confidence interval are satisfied. np(1-p) O B. No. the requirement that np is greater than 10 is not satisfied O C. No, the requirement that the sample size is no more than 5% of the population is not satisfied. O D. No, the requirement that each trial be independent 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 ( (Round to three decimal places as needed.) (d) Interpret the confidence interval. Which statement below best interprets the interval? O A. We are 99% confident that the interval contains the true value of p O B. There is a 99% chance that the true value of p will not fall in the interval. O c. We are 99% confident that the interval does not contain the true value of p. O D. There is a 99% chance that the true value of p will fall in the interval.

Answer 1

a.) 49 - 0.21 233 b.) n p 233 0.21 48.93 n* p(1 -p) 233 0.21 0.79 = 38.655 ans A

c.) critical value at 99% confidence (z)=2.58 (use x table)

99% confidence interval is given by

p* (1 p) ptz 0.21 0.79 0.21土2.58* 233 0.21 士0.0688 (0.1412,0.2788) (0.141,0.279) -

d.)ans:A