In a survey about a new gardening product, 80% of respondents report they would buy the product again. The margin of error for the survey is 5%. Based on that margin of error, what range reflects the population's true response?

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Multiple Choice

In a survey about a new gardening product, 80% of respondents report they would buy the product again. The margin of error for the survey is 5%. Based on that margin of error, what range reflects the population's true response?

Understanding margin of error helps translate a sample result into a likely range for the population. If 80% say they would buy again and the margin of error is 5 percentage points, the true population proportion would lie between 75% and 85%. So the range reflecting the population’s true response is 75-85%. The other options don’t fit because they either extend beyond the ±5 point interval or are centered incorrectly around the 80% estimate.

Understanding margin of error helps translate a sample result into a likely range for the population. If 80% say they would buy again and the margin of error is 5 percentage points, the true population proportion would lie between 75% and 85%. So the range reflecting the population’s true response is 75-85%. The other options don’t fit because they either extend beyond the ±5 point interval or are centered incorrectly around the 80% estimate.

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