<u>Answer-</u>
A 95% confidence interval for the true percent of movie goers is 36.41% to 44.25%
<u>Solution-</u>
Given,
n = 600 (sample size)
x = 252 (number of people who bought)
Confidence interval = 95%, so z = 1.96
We know that,
where,
M = sample mean
Z = Z statistic determined by confidence level
SE = standard error of mean
Calculating the values,
from the tables
Putting all the values in the formula,