We have studied the effect of the sample size on the margin of error of the conf

Question

We have studied the effect of the sample size on the margin of error of the confidence interval for a single proportion. In this exercise we perform some calculations to observe this effect for the two-sample problem. Suppose that p1 = 0.7 and p2 = 0.5, and n represents the common value of n1and n2. Compute the 95% margins of error for the difference between the two proportions for n = 50, 60, 70, 90, 390, 490, and 990. Present the results in a table. (Give the large-sample margins of error. Round your answers to three decimal places.)

n    m 50 __ 60 __ 70 __ 90 __ 390 __ 490 __ 990 __

Explanation / Answer

here for 95% CI ; z =1.96

and std error =(p1(1-p1)/n1+p2(1-p2)/n2)1/2

margin of error E =z*std error

from above below is table for margin of error:

n z std error m 50 1.9600 0.0959 0.188 60 1.9600 0.0876 0.172 70 1.9600 0.0811 0.159 90 1.9600 0.0715 0.140 390 1.9600 0.0343 0.067 490 1.9600 0.0306 0.060 990 1.9600 0.0216 0.042

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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