A study dealing with motor vehicle accident rates for elderly drivers (W. Ray et al., Am. J. Epidemiol., 132: 873–884, 1992) indicated that the entire cohort of elderly drivers had 495 injurious accidents in 38.7 thousand years of driving.

Using a Poisson GLM, find a 95% confidence interval for the true rate. [Hint:

Find a confidence interval first for the log rate by obtaining the estimate and standard error for the intercept term in a loglinear model that has no other predictor and uses log(38.7) as an offset.]