Q:

# 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). There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (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.

Accepted Solution

A:
Answer: There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).Step-by-step explanation:Interpretation of a x% confidence interval : There is x% probability that the true population parameter lies in it.Given : 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). Here , population parameter = Proportion of teenagers who use Mybook as their primary social network site .Then, the correct interpretation of the confidence level would be :There is 95% probability that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).Hence, the correct answer is :There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).