In a trial of 167 patients who received 10-mg doses of a drug daily, 45 reported

Question

In a trial of 167 patients who received 10-mg doses of a drug daily, 45 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. (Round to two decimal places as needed.)

(b) Verify that the requirements for constructing a confidence interval about p are satisfied.

(c) Construct a 99% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.

(d) Interpret the confidence interval.

Explanation / Answer

A) P = 45/167 = 0.27

B) SE = sqrt(P * (1 - P)/n)

= sqrt (0.27 * 0.73/167) = 0.034

C) At 99% confidence interval the critical value is z0.005 = 2.58

The confidence interval is

P +/- z0.005 * SE

= 0.27 +/- 2.58 * 0.034

= 0.27 +/- 0.09

= 0.18, 0.36

D) The Population proportion lies between the Confidence interval.

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