Use the following information for questions:
A 95% confidence interval for the proportion of young adults who skip breakfast is found to be 0.20 to 0.27.
-Which of the following is the correct interpretation of the 95% confidence interval?
A) There is a 95% probability that the proportion of young adults who skip breakfast is between 0.20 and 0.27.
B) 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 0.20 and 0.27.
C) We can be 95% confident that the sample proportion of young adults who skip breakfast is between 0.20 and 0.27.
D) We can be 95% confident that the population proportion of young adults who skip breakfast is between 0.20 and 0.27.

Question

Use the following information for questions:
 A 95% confidence interval for the proportion of young adults who skip breakfast is found to be 0.20 to 0.27.
-Which of the following is the correct interpretation of the 95% confidence interval?
A) There is a 95% probability that the proportion of young adults who skip breakfast is between 0.20 and 0.27.
B) 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 0.20 and 0.27.
C) We can be 95% confident that the sample proportion of young adults who skip breakfast is between 0.20 and 0.27.
D) We can be 95% confident that the population proportion of young adults who skip breakfast is between 0.20 and 0.27.

Quizplus · Accepted Answer

The correct interpretation of a 95% confidence interval is that we are 95% confident that the true population parameter (in this case, the proportion of young adults who skip breakfast) falls within the interval (0.20, 0.27). This does not imply a probability statement about the parameter being in the interval in repeated samples, but rather a level of confidence in where the true parameter lies based on the sample data.

Use the Following Information for Questions