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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.

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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:

  1. Determine the total number of names in the sampling frame. In this case, it's 500.

  2. Determine the sampling interval. In this case, every fourth name is drawn, so the interval is 4.

  3. 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.

  4. 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.

This problem has been solved

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