A survey was conducted among 900 randomly selected adults about their preferred news source. The data are summarized in the table below.
| News Source | Age 18-35 | Age 36-60 | Age 61+ | Total |
|---|---|---|---|---|
| TV | 80 | 150 | 200 | 430 |
| Online | 160 | 120 | 50 | 330 |
| 10 | 40 | 90 | 140 | |
| Total | 250 | 310 | 340 | 900 |
Based on the data, an estimate of the percent of adults who prefer online news is 36.7% and the associated margin of error is 3.5%. Which of the following is a correct statement based on the given margin of error?
It is certain that the percent of all adults who prefer online news is exactly 36.7%.
The true percent of all adults who prefer online news is definitely between 33.2% and 40.2%.
It is unlikely that the percent of all adults who prefer online news is 32%.
Approximately 3.5% of the adults surveyed prefer a different news source than they reported.
