An oil company is interested in estimating the true proportion of female truck drivers based in five southern states. A statistician hired by the oil company must determine the sample size needed in order to make the estimate accurate to within 3% of the true proportion with 97% confidence. What is the minimum number of truck drivers that the statistician should sample in these southern states in order to achieve the desired accuracy?

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 = 0.03The true proportion with 97% confidence.For 97% CI critical Z = 2.1701p = 1/2 = 0.5We 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.