Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true?

(a) For a given sample size, higher confidence means a smaller margin of error.

(b) For a specified confidence level, larger samples provide smaller margins of error.

(c) For a fixed margin of error, larger samples provide greater confidence.

(d) For a given confidence level, halving the margin of error requires a sample twice as large.