Chapter 20 estimating proportions with confidence


Answer: a Narrative: Oranges



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Answer: a


Narrative: Oranges

Suppose a shipment of oranges is advertised to weigh 5 pounds per bag. We know that not every bag can contain exactly 5 pounds of oranges. We decide to take a random sample of 100 bags of oranges and find out what they tell us about the population of all bags in this shipment. We are only interested in whether or not the bags are underweight, so each bag is weighed and counted as underweight if it weighs less than 5 pounds. Five bags in our sample of 100 were found to be underweight.





  1. {Oranges narrative} What percentage of all the bags in the entire shipment do you think are underweight? Give the most complete answer you can.

Acceptable Answers: .050 plus or minus .044; .006 to .094; 5% plus or minus 4.4%; 0.6% to 9.4%.


  1. {Oranges narrative} What is the margin of error for a 95% confidence interval for the proportion of bags in the shipment that are underweight?



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