Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 3/5

A 95% CI is (0.40, 0.50).

0.40 p̂=0.45 0.50

What are the point estimate and margin of error?

  • A

    p̂ = 0.45, ME = 0.10

  • B

    p̂ = 0.40, ME = 0.10

  • C

    p̂ = 0.50, ME = 0.05

  • D

    p̂ = 0.45, ME = 0.05

    check_circle

Explanation

Center: (0.40 + 0.50)/2 = 0.45. ME: (0.50 − 0.40)/2 = 0.05.

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