Question

Can you show your work please?

Insurance companies are interested in knowing the population proportion of drivers who always buckle up before riding in a car. 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 0.04? drivers

Answer 1

We have given,
Preliminary estimate for proportion (Not Known) = 0.5
Margin of error =E=0.04
Level of significance =   1-0.95=0.05
Z critical value is (by using Z table) =1.96
Sample size formula is                   

n = [p(1 – P)]


= [0.5*(1 – 0.5)) 100

=600.25  

n601