In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network site. Six of 10 teenagers said they use Mybook as their primary social network site. A 95% confidence interval to estimate the true proportion of teenagers who use Mybook as their primary social network site is found to be (0.2964, 0.9036). Which of the following is a correct interpretation of the confidence level?

Ninety-five percent of all samples of this size would yield a confidence interval of (0.2964, 0.9036).

Ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use Mybook as their primary social network site.

Ninety-five percent of all the samples of size 5,000 lie in the confidence interval (0.2964, 0.9036).

There is a 95% chance that randomly selected teenagers will be part of the 60% who use Mybook as their primary social network site.

Ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use Mybook as their primary social network site.

This means that if we were to take many random samples of teenagers and construct a confidence interval using the same procedure, we would expect that 95% of those intervals would contain the true proportion of teenagers who use Mybook as their primary social network site. It does not imply that 95% of all samples of this size would yield a confidence interval of (0.2964, 0.9036) specifically.