Setting Up a Test for a Population Proportion

AP Statistics· difficulty 3/5

Test H₀: p = 0.05 with n = 100 (using p₀ for conditions).

np₀ = 100·0.05 = 5 n(1−p₀) = 100·0.95 = 95

Is the Large Counts condition met?

  • A

    Yes: n exceeds 30.

  • B

    Cannot tell.

  • C

    No: np₀ = 5 < 10.

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  • D

    Yes: both exceed 10.

Explanation

np₀ = 5, less than 10. Condition fails.

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