5. Farmer Carl wants to estimate the percentage of ears of corn that have worms. How many ears of corn should farmer Carl sample in order to be 99% confident and 2 percentage points of the population percentage? Farmer Carl has prior data that can be used for the sample proportion, p=0.15.
We have given,
Preliminary estimate for proportion (Known) = 0.15
Margin of error =E=0.02
Level of significance =1-0.99=0.01
Z critical value is (by using Z table) =2.576
Sample size formula is
=2115.15
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