Interpreting Confidence intervals

Front

What is a confidence interval?

Back

A confidence interval is a range of values used to estimate the true value of a population parameter, indicating the degree of uncertainty around the estimate.

Front

What does the margin of error represent in a confidence interval?

Back

The margin of error indicates the range within which the true population parameter is expected to fall, based on the sample data.

Front

How do you calculate the margin of error for a confidence interval?

Back

Margin of error = (Upper limit - Lower limit) / 2.

Front

Given the interval (6.8, 12.9), what is the margin of error?

Back

3.05.

Front

What is a point estimate?

Back

A point estimate is a single value estimate of a population parameter, often the midpoint of a confidence interval.

Front

Given the confidence interval (0.2, 0.8), what is the point estimate?

Back

0.5.

Front

What is the formula for calculating a point estimate from a confidence interval?

Back

Point estimate = (Lower limit + Upper limit) / 2.

Front

What is the interpretation of a confidence level (e.g., 95%)?

Back

A 95% confidence level means that if we were to take many samples and build a confidence interval from each, approximately 95% of those intervals would contain the true population parameter.

Front

What is the point estimator for the interval (-5, 13)?

Back

9.

Front

What is the format for interpreting a confidence interval?

Back

We are C% confident that the interval from ___ to ___ captures the [parameter in context].