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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.

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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).

Answer:

The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31.62% and 52.38%.

Step-by-step explanation:

The other guy didn't explain it very well, so I got the wrong answer the first time, but I retook it, and got it right this time.