A Study Examined the Link Between Sodium Intake and Blood

A study examined the link between sodium intake and blood pressure in children and adolescents between the ages of 8 and 18. The mean systolic blood pressure (SBP) was 112.8 mm Hg among the 636 study participants who were overweight or obese and consumed high levels of sodium, resulting in a 95% confidence interval for this group of 110.7 to 114.9 mm Hg. If there had been more than 636 participants in this group, how would the resulting margin of error for a 95% confidence interval compare?

A) It would have been smaller than the original margin of error.
B) It would have been the same as the original margin of error.
C) It would have been larger than the original margin of error.
D) It may have been different than the original margin of error, but that would depend on the actual sample mean.