1400 respondents for a national poll is pretty standard. You need about a thousand to achieve statistical significance. Of course, few reporters tell us what kind of confidence we should have in the estimate.
It is getting more difficult to get a good enough response rate for your results to be reliable. Usually what happens is that a couple of thousand phone numbers are selected, and then they are called and called until someone answers. If you get a good response rate, the results of your poll have a very good chance of being an accurate reflection of the entire population.
It also turns out that internet polling is not nearly as unreliable as one might think. I’m not sure what their method is, but I do know they are getting results that are very consistent with polls taken using traditional sampling methods.
The problem is not have only 1400 respondents. The problem is that the media rarely gives us the information we need to evaluate the reliability of the poll. How was the sample selected? What kind of sample was it? What was the response rate? What were the margins of error in the analysis of the results? How was the poll conducted? Were professionals used or amateurs? And so on.
Another problem is that people don’t even know the right questions to ask about poll results and they don’t really understand enough about statistics to be able to evaluate the reliability of a poll. Thus we get questions like this one.
Common sense suggests that 1400 respondents is ridiculous. Yet math tells us it is a perfectly adequate number. People usually go with common sense over science, and that is part of the reason why we don’t solve our problems as efficiently as we could. That’s why we can joke that in America, we try every other solution to a problem first before we try the one that works. Scientists are often screaming from the sidelines, “go this way, go this way!” But politicians will do the common sensical thing because it gets them votes. Eventually they get around to doing what the evidence suggested years before,
I don’t mean to exaggerate, though. There are plenty of times when science is not clear. There is research going both ways, or in multiple ways. But there are a significant number of times where our advice is ignored because people don’t understand how you only need to survey 1000 people in order to be able to make accurate generalizations about what Americans think.
If you don’t believe me, go back to the last election and look at the number of people surveyed in each poll, and the accuracy of those polls. We knew who was going to win long before the election. We knew that because the polls told us so and because the polls were right. In the past, they have been incorrect, but we’ve figured out why that was, and corrected the mistakes. Polls are getting more and more accurate.