grade 12 · STAT2-004

Interpret a confidence interval

Describe a plausible range for a population parameter without assigning probability to a fixed parameter.

Learn togetherFresh problem · seed 860855517

A random sample estimates a population proportion as 62% with margin of error 8 percentage points. Which interpretation is appropriate?

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Build the interval as estimate plus or minus the margin.
Checkpoint 2

The interval targets a population parameter.
Checkpoint 3

Avoid claims of certainty about the parameter or every future sample.

Exactly 62% of the population has the trait.The probability that this fixed population proportion changes is 8%.Every future sample proportion must lie from 54% to 70%.The interval from 54% to 70% is a plausible range for the population proportion.