Suppose the researchers in the previous problem selected 100 random samples, each consisting of 6200 U.S. children. The children in each sample were asked the same question as the previous problem. For each sample, the researchers created a 95% confidence interval for the proportion of U.S. children who would indicate that on a typical day, they eat fast food.

Which of the following statements is the best interpretation of the 95% confidence level?

A. We would expect about 5 of the 100 confidence intervals to not contain the sample proportion of U.S. children who indicate that on a typical day, they eat fast food

B. With 100 confidence intervals, we can be 95% confident that the sample proportion of U.S. children indicate that on a typical day, they eat fast food is correct

C. The probability is 0.95 that a single 95% confidence interval created from a sample of 6200 U.S. children contains the sample proportion of all U.S. children who indicate that on a typical day, they eat fast food

D. We would expect about 95 of the 100 confidence intervals to contain the proportion of all U.S. children who would indcate that on a typical day, they eat fast food

E. Of the 100 confidence intervals, 95 of them will be identical because they were constructed from samples of the same size