Which of these terms is commonly used as the probability of rejecting material produced at an unacceptable quality level?

Question

Options

• Aonly
• Bonly
• C1 - only
• D1 - only

• A
  5% (3)
• B
  11% (7)
• C
  14% (9)
• D
  70% (44)

Explanation

Option D (1 - β) is correct because β (beta) represents the consumer's risk - the probability of accepting material at an unacceptable quality level. Its complement, 1 - β, therefore gives the probability of rejecting that same bad material, which is exactly what the question asks for.

Option A (α) is wrong because α is the producer's risk - the probability of rejecting material that is actually acceptable (a Type I error), not bad material. Option B (β) is wrong because β directly measures the chance of accepting bad material, the opposite of what's asked. Option C (1 - α) is wrong because it represents the probability of accepting good material - the complement of the producer's risk.

Memory tip: Think of β as the "bad batch escape rate." If β is the chance bad material slips through, then 1 - β is the chance it gets caught and rejected - the power of your quality control system to detect defects.

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