In a random sample for the classroom shaded mirror sorting roster, 53% of respondents supported a proposal about recycled glass tiles from the indoor set. The margin of error is 4 percentage points. Which interval is best supported for the population support?
- A53% to 57%
- B45% to 61%
- C49% to 57%correct
- D57% to 61%
Why C is correct — and why the others are not
A margin of error of 4 points around 53% gives 49% to 57%. That reasoning is tied to the item-specific detail about Inference, margin, and model claims. A final check is matching the final number to the quantity described in words.
A. This value results from treating the sample percent as exact or doubling the stated margin of error
B. This value results from treating the sample percent as exact or doubling the stated margin of error
D. This value results from treating the sample percent as exact or doubling the stated margin of error