Answer:
Minimum number of truck drivers that the statistician should sample in these southern states in order to achieve the desired accuracy is 1309.
Step-by-step explanation:
Consider the provided information.
The estimate accurate to within 3%
Therefore, e = 0.03
The true proportion with 97% confidence.
For 97% CI critical Z = 2.1701
p = 1/2 = 0.5
We can calculate the sample size by using the formula.
[tex]n = p(1-p)(\frac{z_{\frac{\alpha}{2}}}{e})^2[/tex]
Substitute the respective values
[tex]n =0.5(0.5)(\frac{2.1701}{0.03})^2[/tex]
[tex]n =0.25(5232.59)[/tex]
[tex]n =1308.15[/tex]
Hence, minimum number of truck drivers that the statistician should sample in these southern states in order to achieve the desired accuracy is 1309.
