Use the Following Information for Questions

Short Answer

Use the following information for questions:
A randomly selected sample of 400 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent of the 400 students surveyed answered yes.
-If the sample proportion of students who answered yes to the question was 36% instead of 46%, would the margin of error be smaller or larger?