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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?

Statistics and Probability, Statistics

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