Question

a 95% confidence interval for the average number of cavities a person has in their lifetime is given by (2.4,5.3). Which of the following is an appropriate interpretation of the CONFIDENCE LEVEL in this example?

Group of answer choices:

95% of all people have between 2.4 cavities and 5.3 cavities in their lifetime.

There is a 95% change (probability) that this interval correctly estimates the true average number of cavities a person will have in their lifetime.

A person has an average of between 2.4 and 5.3 cavities in their lifetime.

Answer 1

Solution:

Answer is

There is a 95% change (probability) that this interval correctly estimates the true average number of cavities a person will have in their lifetime.

Explanation:

The meaning of 95% confidence interval : 95% confidence interval means that there is 95% probability that the true population parameter will lie in the interval we constructed using 95% confidence level.

If we draw several samples of size n and we constructed the 95% confidence intervals using these samples , then 95% of these intervals will contain the true population parameter.

So , answer is

There is a 95% change (probability) that this interval correctly estimates the true average number of cavities a person will have in their lifetime.