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In an employee satisfaction survey, 60% of respondents report that they prefer commuting to work via train. The margin of error for the survey is 4%. Based on that margin of error, what range reflects the population's true response?

Question

In an employee satisfaction survey, 60% of respondents report that they prefer commuting to work via train. The margin of error for the survey is 4%. Based on that margin of error, what range reflects the population's true response?

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Solution

The margin of error is 4%, which means the true population response could be 4% higher or lower than the survey results.

  1. To find the upper limit of the range, add the margin of error to the survey result: 60% + 4% = 64%.

  2. To find the lower limit of the range, subtract the margin of error from the survey result: 60% - 4% = 56%.

So, based on the margin of error, the range that reflects the population's true response is 56% to 64%.

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