When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05? (Round your answer up to the nearest whole number.)

tabita57i 2020-12-24 Answered
When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05? (Round your answer up to the nearest whole number.)
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berggansS
Answered 2020-12-25 Author has 91 answers
Step 1
The confidence level is 95%
Therefore, α=0.05andα2=0.025.
The margin of error is .05
Since the proportion is not known, p= 0.5 and 1–p= 0.5.
Thus, zα2=1.96 (using the formula =NORM.INV (0.975, 0,1)).
Step 2
Then the sample size can be obtained as follows:
n=p(1p)(zE)2
=0.5×(10.5)×(1.960.05)2
=384.16
=385
Thus, the sample size is 385.
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Jeffrey Jordon
Answered 2021-11-03 Author has 2047 answers

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