In a trial of 173 patients who received 10-mg doses of a drug daily, 38 reported
ID: 3170201 • Letter: I
Question
In a trial of 173 patients who received 10-mg doses of a drug daily, 38 reported headache as a side effect. Use this information to complete parts (a) through (d) below.
(b) 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 each trial be independent is not satisfied.
No, the requirement that n^p(1-^p) is greater than 10 is not satisfied.
No, the requirement that the sample size is no more than 5% of the population is not satisfied.
(c) Construct a 90% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.The 90% confidence interval is (____,____).
(d) Interpret the confidence interval. Which statement below best interprets the interval?
There is a 90%chance that the true value of p will not fall in the interval.
We are90%confident that the interval contains the true value of p.
We are90% confident that the interval does not contain the true value of p.of p.
There is a 90% chance that the true value of p will fall in the interval.
Explanation / Answer
b)Yes, the requirements for constructing a confidence interval are satisfied.
c) here p=38/173=0.2197 ; n=173
hence std error =(p(1-p)/n)1/2 =0.0315
for 90% CI, z=1.6449
hence confidence interval =mean +/- z*std error =0.1679 ; 0.2714
d)(There is a 90% chance that the true value of p will fall in the interval.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.