In a trial of 100 patients who received 10-mg doses of a drug daily, 28 reported

Question

In a trial of 100 patients who received 10-mg doses of a drug daily, 28 reported a headache as a side offect. Use the information above to complete parts (a) through a. Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence interval about p satisfied? No Yes b. Construct a 95% confidence interval for the population proportion of drug users who will report a headache as a side effect. The confidence interval is from to (Use ascending order. Round to three decimal places as needed.)

Explanation / Answer

Solution:

Given that x = 28, n = 100
p = 28/100 = 0.28

a) n= 100
p = 0.28, q = 0.72
npq = 100* 0.28*0.72 = 20.16

Yes
all requirements are satisfied. as np > 10 , nq> 10

B) Mean np= 28, sd = sqrt(npq) = 4.49

Z0.05 = 1.96

hence 95% confidence interval is (28 - 4.49 * 1.96 ,28 + 4.49 *1.96)

= (19.1996,36.8004)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.