Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 3/5

For fixed n and p̂, increase confidence from 90% to 99%.

z*: 1.645 → 2.576 ME = z* · SE

Width changes by what factor approximately?

  • A

    1.57x wider

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  • B

    Same width

  • C

    2x wider

  • D

    0.64x wider

Explanation

2.576/1.645 ≈ 1.57. Width grows by this factor.

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