What does a 90% confidence interval mean?
Understand the Problem
The question is asking about the meaning of a 90% confidence interval in statistical terms. Essentially, it refers to the range in which we can be 90% confident that the true parameter (like a population mean) lies, based on the sample data.
Answer
You can be 90% sure the true parameter lies within the interval, with a 10% chance of being wrong.
The final answer is a 90% confidence interval means you can be 90% sure that the true population parameter lies within the interval, with a 10% chance of being wrong.
Answer for screen readers
The final answer is a 90% confidence interval means you can be 90% sure that the true population parameter lies within the interval, with a 10% chance of being wrong.
More Information
Confidence intervals provide a range that, given a certain level of certainty, includes the true population parameter. It balances the trade-off between precision and confidence.
Tips
Common mistakes include interpreting the confidence interval as the probability that the true parameter is in the given interval for a specific sample, which is incorrect. The correct interpretation concerns repeated sampling.
