The 99% confidence interval for the proportion of fatal accidents that involved uninsured drivers is approximately 0.316 to 0.404.
To construct a 99% confidence interval for the proportion of fatal accidents that involved uninsured drivers, we can use the formula:
CI = p ± z * sqrt((p * (1 - p)) / n)
Where p is the sample proportion, z is the z-value for the desired confidence level, and n is the sample size. In this case, the sample proportion is 108/300 = 0.36 and the sample size is 300.
Using a z-value of 2.576 (corresponding to a 99% confidence level), we can plug in the values:
CI = 0.36 ± 2.576 * sqrt((0.36 * (1 - 0.36)) / 300)
Simplifying the equation, the 99% confidence interval for the proportion of fatal accidents that involved uninsured drivers is approximately 0.316 to 0.404.
Therefore, we can be 99% confident that the true proportion falls within this interval.