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

AP Statistics· difficulty 3/5

A 95% CI for the proportion of left-handed students is (0.08, 0.14).

0.08 0.14

Which interpretation is INCORRECT?

  • A

    If we repeated the procedure many times, ~95% of intervals would contain p.

  • B

    The probability that p is between 0.08 and 0.14 is 0.95.

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  • C

    We are 95% confident p is between 0.08 and 0.14.

  • D

    The interval is plausible for p at the 95% level.

Explanation

The parameter p is fixed; we cannot assign probability to a single fixed-but-unknown value being in a fixed interval.

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