Confidence Intervals Several factors are involved in the creation of confidence intervals. Among them are the sample size, the level of confidence, and the margin of error. Read each statement and determine if it is true or false. A. The sample statistic will always be contained within the confidence interval. B. The population parameter will always be contained within the confidence interval. C. For a given sample size, a higher confidence level means a smaller margin of error. D. For a specified confidence level, larger samples provide smaller margins of error. E. For a given sample size, reducing the margin of error will mean lower confidence. F. For a given confidence level, you can get a smaller margin of error by selecting a bigger sample.