AP Statistics · Question of the Day

AP Statistics Question of the Day

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Saturday, August 22, 2026

A test of $H_0:p=0.08$ uses $n=80$ . Which condition fails?

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Question of the Day

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A test of $H_0:p=0.08$ uses $n=80$ . Which condition fails?

$n(1-p_0)\ge10$
$n\le0.10N$
Sample $n\ge30$
$np_0\ge10$ (correct answer)

Explanation: For a one-proportion z test, both np0 and n(1-p0) must be at least 10. Here 80 times 0.08 = 6.4, so np0 >= 10 fails. The other side is 80 times 0.92 = 73.6, which passes. The tempting mistake is checking n(1-p0) or the sample size, but those conditions are satisfied; the expected successes are too few.