Question

in a poll 69% all of the people pulled answered yes to the question are you in favor of the death penalty for a person convicted of murder the margin of error in the poll was 5% and the estimate was made with 96% confidence how many people were surveyed

Answer 1

Solution :

Given that,

= 69% = 0.69

1 - = 1 - 0.69 = 0.31

Margin of error = E = 5% = 0.05

At 96% confidence level the z is ,

= 1 - 96% = 1 - 0.96 = 0.04

/ 2 = 0.04 / 2 = 0.02

Z_/2 = Z_0.02 = 2.054

Sample size = (  Z_/2 / E)² * * (1 - )

= (2.054 / 0.05)² * 0.69 * 0.31

= 360.97 = 361

Sample size = n = 361

361 people were surveyed .