The question is asking for an interpretation of a poll result where 11% of respondents chose chocolate pie as their favorite, with a margin of error of ±4 percentage points. The best interpretation of this margin of error is that it creates a confidence interval around the reported percentage, suggesting that the true population percentage who prefer chocolate pie is likely within the interval from 7% (11% - 4%) to 15% (11% + 4%).

Let's analyze each option:

• Option A: Incorrect, because it doesn’t mention the likelihood or confidence level of this interval containing the true population proportion.
• Option B: Incorrect, as it misunderstands the 4% as a confidence level rather than a margin of error.
• Option C: Incorrect, as it misinterprets the confidence level in a way that doesn’t match standard statistical interpretation.
• Option D: Correct, as it accurately interprets the margin of error as forming an interval (11% ± 4%) that is likely to contain the true population percentage of people who prefer chocolate pie.

Answer:

The correct answer is D.

Would you like more details or have any questions?

Related Questions:

1. What does a 95% confidence level mean in statistical reporting?
2. How is the margin of error calculated in polling data?
3. What are confidence intervals, and how are they useful in statistics?
4. What are common misconceptions about the margin of error?
5. How does sample size impact the margin of error?

Tip:

In statistics, a larger sample size typically reduces the margin of error, making the estimate of the true population parameter more precise.