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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Multiple Choice

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?

Margin of error tells you how far the true population value could be from the sample estimate. With a sample proportion of 60% and a margin of error of 4 percentage points, you apply the margin on both sides: 60% − 4% = 56% and 60% + 4% = 64%. So the population’s true preference would lie between 56% and 64%. The other ranges either exceed or fall short of the given margin, so they don’t match the reported margin.

Margin of error tells you how far the true population value could be from the sample estimate. With a sample proportion of 60% and a margin of error of 4 percentage points, you apply the margin on both sides: 60% − 4% = 56% and 60% + 4% = 64%. So the population’s true preference would lie between 56% and 64%. The other ranges either exceed or fall short of the given margin, so they don’t match the reported margin.

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