Question

A 95% confidence interval for the proportion of young adults who skip breakfast is .20 to .27. Which of the following is a correct interpretation of this 95% confidence interval? A The proportion of young adults who skip breakfast 95% of the time is between .20 and .27. B We are 95% confident that the sample proportion of young adults who skip breakfast is between .20 and .27. C If this study were to be repeated with a sample of the same size, there is a 95% probability that the sample proportion would be between .20 and .27. D We are 95% confident that the true proportion of young adults in the population who skip breakfast is between .20 and .27.

Answer 1

We are 95% confident that the true proportion of young adults in the population who skip breakfast is between .20 and .27.

Explanation:

A 95% confidence interval for the proportion of young adults who skip breakfast is .20 to .27. Which of the following is a correct interpretation of this 95% confidence interval?

We take a sample, and infer for the entire population.

So the interpretation is that we are 95% sure that the true proportion of all young adults who skip breakfast is between 0.20 and 0.27.

So the correct answer is:

We are 95% confident that the true proportion of young adults in the population who skip breakfast is between .20 and .27.