Question: “What do you think is the ideal number of children for a family to have?” A Gallup poll asked this question of 1006 randomly chosen adults. Almost half (49%) thought two children was ideal. Suppose that p=0.49 is exactly true for the population of all adults. Gallup announced a margin of error of 3 percentage points for this poll. What is the probability that the sample proportion p for an SRS of size n=1006 falls between 0.46 and 0.52? You see that it is likely, but not certain, that polls like this give results that are correct within their margin of error.