In a trial of 123 patients who received 10-mg doses of a drug daly, 32 reported

Question

In a trial of 123 patients who received 10-mg doses of a drug daly, 32 reported headache as a side effect. Use this information to complete parts (a)through (d) below. Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daly and reported headache as a side effect. p^cap = squarebox (Round to two decimal places as needed.) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence satisfied? Yes, the requirements for constructing a confidence interval are satisfied. No, the requirement that the sample size is no more than 5% of the population is not satisfied. No, the requirement that np^cap(1 - p^cap) is greater than 10 is not satisfied. No, the requirement that each trial be independent is not satisfied. 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.) Interpret the confidence interval. Which statement below best interprets the interval? We are 99% confident that the interval contains the true value of p. We are 99% confident that the interval does not contain the true value of p. There is a 99% chance that the true value of p will not fall in the interval. There is a 99% chance that the true value of p will fall in the interval.

Explanation / Answer

Solution:-
a) point estimate, 'p' = 0.2602
  
b) the requirements for constructing a confidence interval about p are satisfied,
since the requirements are, p = 0.2602, q = 0.7398, n = 123 and Z critical = 2.576 at 99% confidence

option A.yes,the requriements for constructing a confidenceinterval satisfed.

c) 99% Confidence interval = [p +/- z critical * sqrt(pq/n)]
= [0.2602 +/- 2.576 * sqr(0.2602*0.7398/123]
= [0.1583, 0.3621]

d) option A. we are 99% confident interval contains the true value of p

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