Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A survey company wants a margin of luck of 2 percentage points. How many people should it ask at random? Its client then asks for a margin of 1 percentage point. How many people does that need? By what factor does the number of people grow?
The margin of luck of a fair random poll is about percentage points, for about 95 polls in 100. For a margin , take . A group of inside the poll has the margin .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. A margin of 2 points. .
Step 2. A margin of 1 point. .
Step 3. The factor. .
Answer: people, then people, which is 4 times as many.
Watch out. Halving the margin needs four times the sample, so precision is costly.
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