Question

A pollster believes that 20% of the voters in a certain area favor a bond issue. If 100 voters are randomly sampled from the large number of voters in this area, approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02. (Round your answer to four decimal places.)

Answer 1

Solutions I from the given data we have population P' = 0.20 Selected voters' n = 100 Let 'y'denote the favor the bond issue Here we have to find the probability of voters favoring the bond issue will not differ from the true by more than 0.02. P1*-1/400) = p from ef*-+) 2002 P1-P) 0.02 Z -0.02 0.20(1-0.20) 100 0.20 1-0.20 N 12 - PI-P -0.02 0.02 0.20 --- 0.8 z2 0.200.8 100 100 0.02 -sza 10.16 V100

-0.02 . - - LZ 16 -0.02 . Zc P(-0.5 <23 0.5) =P (240.5) -P (24-0.5) = 0.6915 - 0.3085 = 0.383. The required probability is 10.383).