a n 50 b n 200 c n 500 d n 2000SolutionFind the margin o

a. n = 50

b. n = 200

c. n = 500

d. n = 2,000

Find the margin of error for a poll, assuming that = 0.50. Round your answers to 4 decimal places.

standard error = sqrt( P*(1-P)/n)=sqrt(0.5*0.5/50) =0.0707

margin of error at 95%, =1.96*0.0707 = 0.1386

standard error = sqrt( P*(1-P)/n)=sqrt(0.5*0.5/200) =0.0354

margin of error at 95%, =1.96*0.0354 = 0.0694

standard error = sqrt( P*(1-P)/n)=sqrt(0.5*0.5/500) =0.0224

margin of error at 95%, =1.96*0.0224 = 0.0439

standard error = sqrt( P*(1-P)/n)=sqrt(0.5*0.5/2000) =0.0112

margin of error at 95%, =1.96*0.0112 = 0.0220