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 a correct interpretation of the 95% confidence level?
A) There is a 95% probability that the true proportion of young adults who skip breakfast is between 0.20 and 0.27.
B) In about 95% of all studies for which this procedure is used, the confidence interval will cover the true population proportion, but there is no way to know if this interval covers the true proportion or not.
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 0.20 and 0.27.
D) The proportion of young adults who skip breakfast 95% of the time 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 a correct interpretation of the 95% confidence level?
A) There is a 95% probability that the true proportion of young adults who skip breakfast is between 0.20 and 0.27.
B) In about 95% of all studies for which this procedure is used, the confidence interval will cover the true population proportion, but there is no way to know if this interval covers the true proportion or not.
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 0.20 and 0.27.
D) The proportion of young adults who skip breakfast 95% of the time is between 0.20 and 0.27.

Quizplus · Accepted Answer

The correct interpretation of a 95% confidence interval is that in 95% of samples of the same size and from the same population, the calculated confidence intervals will contain the true population parameter. This does not mean there is a 95% probability that the true proportion lies within any given interval, as the true proportion is a fixed value and not a random variable.

Use the Following Information for Questions