"What do you think is the ideal number of children for a family to have?" A Gallup Poll asked this question of 1016 randomly chosen adults. Almost half (49%) thought two children was ideal.We are supposing that the proportion of all adults who think that two children is ideal isp= 0.49.

What is the probability that a sample proportionpfalls between 0.46 and 0.52 (that is, within3 percentage points of the truep) if the sample is an SRS of sizen=250?(Round your answer to four decimal places.)

What is the probability that a sample proportionpfalls between 0.46 and 0.52 if the sample is an SRS of sizen= 5000?(Round your answer to four decimal places.)