To determine the correct statement about the confidence interval, we need to understand what the margin of error and confidence interval represent.

Given:

• Sample proportion (p): 9.5% or 0.095
• Margin of error (E): 0.8 percentage points or 0.008
• Confidence level: 95%

Confidence Interval:

The confidence interval is calculated by adding and subtracting the margin of error from the sample proportion.

• Lower bound: $0.095 - 0.008 = 0.087$ or 8.7%
• Upper bound: $0.095 + 0.008 = 0.103$ or 10.3%

Interpretation:

The confidence interval suggests that we are 95% confident that the true proportion of the population that would vote for the Center Party lies between 8.7% and 10.3%.

Correct Statement:

The correct statement is:

• "We are 95% confident that between 8.7% and 10.3% of the population would vote for the Center Party if there were elections today."

Would you like more details or have any other questions?

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Here are some related questions you might find useful:

1. What does a confidence level of 95% mean in statistics?
2. How is the margin of error calculated in a poll?
3. What factors affect the width of a confidence interval?
4. How does sample size impact the margin of error?
5. What is the difference between a confidence interval and a prediction interval?
6. How do we interpret confidence intervals in hypothesis testing?
7. What would happen to the confidence interval if the confidence level was increased to 99%?
8. How do we report confidence intervals in research papers?

Tip: When interpreting confidence intervals, remember that they provide a range of values within which the true population parameter is likely to lie, given a certain level of confidence.