Confidence interval for proportion-defective dolls

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A shipment of 500 dolls is received by Panda Importers. The quality control manager selects a random sample of 75 to test. Five are bound to be defective. Construct a 90 percent confidence interval for the population proportion of defective dolls in the shipment.

Ans should be
0.06666 + / - 1.645 sqrt (0.667 (1-0.667 / 75) sqrt (500-75 / 500 - 1)

How do I get these numbers?

Would it be reasonable to find 10 defective dolls?

Reference no: EM13105213

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