Solved: As long as the proportion of defective batteries in a, Basic Statistics

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As long as the proportion of defective batteries in a

A manufacturer of alkaline batteries is concerned about the proportion of defective batteries it ships to retailers.

As long as the proportion of defective batteries in a shipment is below 2%, the manufacturer is not at risk of losing market share. It randomly selects 300 batteries from a very large shipment and finds 10 defective batteries in the sample.

What is the width of the 95% confidence interval for the proportion of defective batteries in that shipment.
What is the p-value of the appropriate test for checking if the manufacturer is at risk of losing market share?
What is the value of the appropriate test statistic for checking if the manufacturer is at risk of losing market share?

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Basic Statistics: As long as the proportion of defective batteries in a

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Basic Statistics: As long as the proportion of defective batteries in a

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