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, with a specified level of confidence.

Front

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

Back

The margin of error indicates the range of uncertainty around the point estimate, showing how much the estimate could vary.

Front

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

Back

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

Front

What is the point estimator in a confidence interval?

Back

The point estimator is the midpoint of the confidence interval, representing the best estimate of the population parameter.

Front

What does a larger confidence interval imply about the confidence level?

Back

A larger confidence interval implies a higher confidence level, meaning you are more certain that the interval contains the true parameter.

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].

Front

What is the difference between a statistic and a parameter?

Back

A statistic is a numerical value calculated from a sample, while a parameter is a numerical value that describes a characteristic of a population.

Front

What does it mean if a confidence interval does not include the value of a parameter?

Back

If a confidence interval does not include the value of a parameter, it suggests that there is not enough evidence to support that the parameter equals that value.

Front

What is the significance of the confidence level (C%) in a confidence interval?

Back

The confidence level (C%) indicates the probability that the confidence interval will contain the true population parameter in repeated samples.

Front

How can sample size affect the width of a confidence interval?

Back

Increasing the sample size generally decreases the width of the confidence interval, leading to a more precise estimate.