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Provide an Appropriate Response 99%99 \% Confident That the Sample Proportion Will Not Differ from the to Estimate

Question 100

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Provide an appropriate response.
-A state highway patrol official wishes to estimate the number of legally intoxicated drivers on a certain road.
a) How large a sample is needed in order to be 99%99 \% confident that the sample proportion will not differ from the true proportion by more than 2%2 \% ?
b) Repeat part (a) assuming previous studies found that 80%80 \% of the drivers on this road are legally intoxicated.

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