When a production line is properly adjusted, it is found that 4% of the mechanical components produced are defective. Occasionally settings go out of adjustment, and more defectives are produced. A sample of 12 components is examined and the number of defectives is counted. What distribution applies to the number of defectives? What are the null hypothesis and the alternative hypothesis? If the level of significance is set at 1%, how many defectives can be allowed in the sample before any action is taken?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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When a production line is properly adjusted, it is found that 4% of the mechanical components produced are defective. Occasionally settings go out of adjustment, and more defectives are produced. A sample of 12 components is examined and the number of defectives is counted. What distribution applies to the number of defectives? What are the null hypothesis and the alternative hypothesis? If the level of significance is set at 1%, how many defectives can be allowed in the sample before any action is taken?
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