Question

In a recent text message survey, 4,000 randomly selected teenagers were asked to cite their favorite Florida college football team. Twenty-two of 40 teenagers said the Florida Gators are their favorite team. A 99% confidence interval to estimate the true proportion of teenagers who like the Florida Gators is found to be (0.3474, 0.7526). Which of the following is a correct interpretation of the confidence level? (4 points)
Ninety-nine percent of all samples of this size would yield a confidence interval of (0.3474, 0.7526).

There is a 99% chance that the true proportion of teenagers who like the Florida Gators is (0.3474, 0.7526).

Ninety-nine percent of all the samples of size 4,000 lie in the confidence interval (0.3474, 0.7526).

Ninety-nine percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who like the Florida Gators.

There is a 99% chance that randomly selected teenagers will be part of the 55% who like the Florida Gators.

Answer 1

Answer:

There is a 99% chance that the true proportion of teenagers who like the Florida Gators is (0.3474, 0.7526).

Step-by-step explanation:

A 99% confidence interval to estimate the true proportion of teenagers who like the Florida Gators is found to be (0.3474, 0.7526).

This means we are 99% confident that, the true proportion of teenagers who like the Florida Gators is within the interval:

(0.3474, 0.7526)

In other words,there is a 99% chance that the true proportion of teenagers who like the Florida Gators is within (0.3474, 0.7526).