Answer: B) wider
The margin of error, abbreviated MoE, is defined as
MoE = sigma/sqrt(n)
sigma represents the population standard deviation. If you do not know sigma, then use s to approximate sigma. The variable s is the sample standard deviation.
As sigma gets larger, so does the MoE. The MoE directly determines how wide or narrow the confidence interval is. A smaller MoE means we're more confident with less error, while a larger MoE means we cast a wider net but there's more error.