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.

Respuesta :

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).

Answer

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.

Step-by-step explanation:

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