Asurvey was conducted on a random sample of students at a college campus to study student opinions on the new honors program. out of the students surveyed, 78% rated the new honors program as "very rigorous" with a margin of error of ±3% and a confidence interval of 90%. what does the margin of error imply? 1. it can be concluded, with 90% confidence, that at least 75% of all students will rate the new honors program as "very rigorous." 2. it can be concluded, with 78% confidence, that at least 87% of all students will rate the new honors program as "very rigorous." 3. it can be concluded, with 78% confidence, that between 87% and 93% of all students will rate the new honors program as "very rigorous." 4. it can be concluded, with 90% confidence, that between 75% and 81% of all students will rate the new honors program as "very rigorous."