A Production Run of 500 Items Resulted in 29 Defectives $\mathrm { K } = 0.058$

question 62

Multiple Choice

A production run of 500 items resulted in 29 defectives items.A defective item is coded as 1 and a good item as 0.The following is an output from Minitab.
Runs Test: Defects

Runs test for Defects

Runs above and below $\mathrm { K } = 0.058$

The observed number of runs $= 57$
The expected number of runs $= 55.636$
29 observations above K, 471 below
$\mathrm { P } -$ value $= 0.574$
Using $\alpha$ =0.1, the conclusion is __________________.

• A)successive items did not constitute a random sample.
• B)reject the hypothesis that successive items constituted a random sample
• C)do not reject the hypothesis that successive items constituted a random sample
• D)reject the hypothesis that successive items constituted a random sample.
• E)the distribution is binomial

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Definitions:

Substantial Evidence

Evidence that is adequate to support a conclusion or justify a decision, often used in legal and regulatory contexts to indicate a reasonable level of proof.

Hindsight Bias

The tendency to believe, after an event has occurred, that one would have predicted or expected the outcome, often referred to as the "I-knew-it-all-along" phenomenon.

Self-fulfilling Prophesy

A prediction that directly or indirectly causes itself to become true, by the very terms of the prophecy itself, due to positive feedback between belief and behavior.

Rationalization

A defense mechanism where logical, acceptable explanations are given for behaviors that are actually driven by subconscious motives.