Justifying a Claim Based on a Confidence Interval for a Population Proportion

AP Statistics· difficulty 3/5

A pollster constructs many 95% confidence intervals for various proportions using independent random samples.

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Which statement best interprets "95% confidence"?

  • A

    95% of the data lies within the interval.

  • B

    There is a 95% chance the parameter falls in any given interval.

  • C

    In repeated sampling, about 95% of such intervals will capture the true proportion.

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  • D

    The procedure produces the correct interval 95% of the time for this single sample.

Explanation

The confidence level describes the long-run capture rate of the procedure, not a probability for a single interval.

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