(A) Determine a 95% Confidence Interval for the Proportion Defective

question 31

Essay

(A) Determine a 95% confidence interval for the proportion defective for the process today.
(B) Based on your answer to (A), is it still reasonable to think the overall proportion defective produced by today's process is actually the targeted 4%? Explain your reasoning.
(C) The confidence interval in (A) is based on the assumption of a large sample size. Is this sample size sufficiently large in this example? Explain how you arrived at your answer.
(D) How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% (using the information from today's sample)?

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Definitions:

Donor Restrictions

Conditions placed by donors on the use or timing of use of donated assets, requiring organizations to use the assets as specified.

Depreciation Expense

A measure of the cost allocated for the reduction in value of a tangible fixed asset over its useful life.

Health Care Entities

Organizations that provide medical services, manufacture medical equipment or drugs, provide medical insurance, or otherwise facilitate the provision of healthcare to patients.

Unconditional Promises

Commitments or guarantees made without any conditions attached, often used in the context of financial agreements or contracts.