A university conducted a survey of alumni from a total alumni population of to assess satisfaction with recent campus improvements. The survey reported that of alumni approve of the improvements, with a margin of error of . Based on these results, which of the following statements is most strongly supported?
It is certain that more than alumni approve of the improvements.
It is plausible that fewer than alumni approve of the improvements.
The actual number of alumni who approve of the improvements is exactly .
It is certain that more than two-thirds of the alumni population approve of the improvements.