Could u plz do this problem with details as much as u can Th

(b) If you\'ve ever seen a political poll on the news, you\'ve seen a confidence interval. It will look something like this: 68% of voters said yes to Proposition Z, with a margin of error of ±2%. Now let\'s assume that the level of confidence is 80% and the size of sample is 900. Find the value of a based on the given information is 900. Find the value of ar based on the given information

Solution

As the margin of error is given by

x = z(alpha/2) sp

where

sp = sqrt[p(1-p)/n]

Then

sp = sqrt(0.68*(1-0.68)/900) = 0.015549205

Also,

alpha/2 = (1-confidence level)/2 = (1-0.80)/2 = 0.10

Then

z(0.10) = 1.281551566

Then,

x = z(alpha/2) sp = 0.019927108 [ANSWER]