When designing a study to determine this proportion, what is the minimum number of drivers you would survey to be 95% confident that the population proportion is estimated to within 0.05?

 385

Step-by-step explanation:

If the prior estimate of population proportion is unknown , then the formula to find the minimum sample size is given by :-

where, is the z-value for significance level() and   E = the margin of error .

Given : Confidence level = 0.95

significance level :

Critical z-value for 95% confidence level :

Margin of error : E= 0.05

Also, prior population proportion is unknown.

Required sample size :

Simplify ,

Hence,You would survey 385 drivers.

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