Factors that would definitely increase the width of a confidence interval is:
Increase the sample mean and increase the percentage of confidence.
The width of the confidence interval decreases as the sample size increases. The width increases as the standard deviation increases. The width increases as the confidence level increases (0.5 towards 0.99999 - stronger).
Factors affecting the width of the CI include the confidence level, the sample size, and the variability in the sample. All else being the same, a larger sample would produce a narrower confidence interval.
To reduce the width of a confidence interval by a factor of two (i.e., in half), you have to quadruple the sample size. True, as long as we're talking about a CI for a population percentage. The standard error for a population percentage has the square root of the sample size in the denominator.
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