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 568599034

A random sample estimates a population proportion as 46% with margin of error 5 percentage points. Which interpretation is appropriate?

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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.

Every future sample proportion must lie from 41% to 51%.The interval from 41% to 51% is a plausible range for the population proportion.Exactly 46% of the population has the trait.The probability that this fixed population proportion changes is 5%.