A researcher surveyed 1,200 randomly selected college freshmen from a particular state and asked whether they had worked a full-time job during the summer before matriculating. Of those surveyed, 312 students responded that they had worked full-time. Based on the sample results, the researcher reported an estimate that 26% of all college freshmen in the state worked full-time the previous summer, with an associated margin of error of 2.5%.
Which of the following statements is best supported by the reported margin of error?