# Random Sample

A random sample of 275 bolts from machine A contained 27 defective bolts... (see attached)

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#### Solution Summary

A random sample of 275 bolts from machine A contained 27 defective bolts, while an independently chosen, random sample of bolts from machine B contained defective bolts. Let be the proportion of the population of all bolts from machine A that are defective, and let be the proportion of the population of all bolts from machine B that are defective. Find a confidence interval for . Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places.

1. What is the lower limit of the 95% confidence interval? _______

2. What is the upper limit of the 95% confidence interval? _______