A nonprofit organization concerned with a social issue sent out a fund-raising letter to 5,000 people.
Conclusion (This suggests that)
Most of the people who received the nonprofit letter agreed with their position on the social issue presented.
Evidence
283 of the 300 people who responded to the letter agreed with the position.
Evaluate
We seem to be looking at one of the Top 10 famous flaws, Sampling.
We know that most of the respondents agreed with the nonprofit's position on the social issue. The author is trying to conclude that most of the recipients agreed with the position on the social issue.
So it's a question of whether we think that "people who responded" are a fairly typical cross-section of recipients. Are they a sample from which we can extrapolate general conclusions?
Our concerns with Samples usually are that the sample is too small (like under 20), the respondents didn't provide truthful responses (out of fear of shame or retaliation), or most commonly that the people who comprise our sample population are self-selecting / biased / skewed / atypical in some way.
A sample size of 300 out of 5,000 total letters is a pretty respectable size. It could always be more robust with bigger numbers, but anything over 100 is nothing LSAT would ever complain about.
Are these 300 respondents likely to be an atypical sample of the underlying population of recipients?
Maybe. This is where our outside common sense comes into play. We might be well aware of "the Yelp phenomenon", the idea that people generally only take the time to write a review if they're really motivated (loved it or hated it), so you see mainly 5-star and 1-star reviews.
Similarly, it could be that because of the effort it takes to respond to a survey that showed up in your mail, most people wouldn't respond whether they agreed or disagreed. It would mainly be the zealots who write back.
Goal
Look for an answer objecting that it's not safe to assume that this sample of 300 respondents is representative of the underlying 5000 recipients, because respondents are a self-selecting group of people who had really strong reactions.
In general, if a nonprofit you don't agree with mailed you something, you'd pitch it in the recycling bin, thinking "not for me". You probably would only write the organization if you were super aligned with the cause and wanted to get involved. So we could even say that the low response rate overall (only 300 out of 5000) could be evidence that people mostly weren't aligned with that position.