Question

Find the margin of error and 95% confidence interval for the following surveys. Round all answers to 2 decimal places. a) A survey of 500 people finds that 58% plan to vote for Smith for governor. Margin of Error (as a percentage): Confidence Interval: % to % b) A survey of 1500 people finds that 68% support stricter penalties for child abuse. Margin of Error (as a percentage): Confidence Interval: % to %

Answer 1

a)

from above:

Margin of Error =4.33%

Confidence Interval: 53.67% to 62.33%

b)

from above:

Margin of Error =2.35%

Confidence Interval: 65.65% to 70.35%