Identify the Null Hypothesis, Alternative Hypothesis, Test Statistic, P-Value, Conclusion

question 81

Essay

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
-A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim.

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Definitions:

Externally Motivated

Driven by external rewards or pressures rather than personal interest or intrinsic desire.

Impoverished Background

A situation where an individual or family lives in a state of financial hardship or poverty, lacking sufficient resources for a standard living.

Confirmation Bias

The predisposition to look for, comprehend, prioritize, and recollect facts in a way that supports one’s own prior convictions or hypotheses.

Impoverished Background

Referring to a lack of financial resources and economic stability in one's family or upbringing, often impacting access to opportunities.