A newspaper poll found that 54% of the respondents in a random sample of voters in the city plan to vote for candidate Roberts. A 95 percent confidence interval for the population proportion is 0.54 ± 0.06. What is the correct interpretation of the 95% confidence interval?
Answer
A
We are 95% confident that 54% of all voters would vote for Roberts.
B
There is a 5% chance that less than 48% or more than 60% of voters would vote for Roberts.
C
There is a 95% probability that Roberts would receive between 48% and 60% of the votes.
D
We are 95% confident that the interval from 0.48 to 0.60 captures the true proportion of voters who would vote for Roberts.