If a sampling frame contains 500 names, and every fourth name is drawn to create a sample, then each name has a ______% chance of being drawn.12.52533.375
Question
If a sampling frame contains 500 names, and every fourth name is drawn to create a sample, then each name has a ______% chance of being drawn.
12.5
33.375
Solution
The question is asking for the probability of a name being drawn from a sampling frame of 500 names, where every fourth name is drawn to create a sample.
Here are the steps to solve this:
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Determine the total number of names in the sampling frame. In this case, it's 500.
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Determine the sampling interval. In this case, every fourth name is drawn, so the interval is 4.
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Divide the total number of names by the sampling interval to find out how many names will be drawn. In this case, 500 / 4 = 125 names will be drawn.
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To find the probability of any one name being drawn, divide the number of names drawn by the total number of names, and then multiply by 100 to convert to a percentage. In this case, (125 / 500) * 100 = 25%.
So, each name has a 25% chance of being drawn.
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