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Statistics / Probability and Statistical Inference 9 / Chapter 7.4 / Problem 8E

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Some college professors and students examined 137 Canadian

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QUESTION:

PROBLEM 8E

Some college professors and students examined 137 Canadian geese for patent schistosome in the year they hatched. Of these 137 birds, 54 were infected. The professors and students were interested in estimating p, the proportion of infected birds of this type. For future studies, determine the sample size n so that the estimate of p is within ε = 0.04 of the unknown p with 90% confidence.

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QUESTION:

PROBLEM 8E

Some college professors and students examined 137 Canadian geese for patent schistosome in the year they hatched. Of these 137 birds, 54 were infected. The professors and students were interested in estimating p, the proportion of infected birds of this type. For future studies, determine the sample size n so that the estimate of p is within ε = 0.04 of the unknown p with 90% confidence.

ANSWER:

Step 1 of 4

The sample proportion is the number of successes divided by the sample size:

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