Twitter users and news, Part I: A poll conducted in 2013 found that 52% of U. S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.4%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U. S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context.
(please round all percentages to 2 decimal places)
The 99% confidence interval is
( %, %)
Interpret the meaning of your confidence interval:
99% of confidence intervals will be contain the correct sample proportion of U. S. adult twitter users who get some news on Twitter
There is a 99% probability that the proportion of U. S. adult twitter users who get some news on Twitter is within our confidence interval
We are 99% confident that the true proportion of U. S. adult twitter users who get some news on Twitter is within our confidence interval