Refer to the injurious accident data in Section 4.3.4.

a. Test the hypothesis of equal rates for men and women using a likelihood- ratio test. Compare results to the Wald test.

b. White drivers had 348 injurious accidents in 29.4 thousand years of driving, and black drivers had 147 injurious accidents in 9.2 thousand years. Test whether the rates of injurious accidents differ by race.

c. In the same study, accident rates were much higher for subjects residing in urban areas than in rural areas. Explain why, controlling for residence, the difference in rates between blacks and whites is likely to be smaller than that observed in (a).

d. The entire cohort of elderly drivers had 495 injurious accidents in 38.7 thousand years of driving. Find a 95% confidence interval for the true rate. (Hint: Compute a confidence interval first for the log rate by obtaining the estimate and standard error for the intercept term in a Poisson loglinear model that has no other predictor and uses log(38.7) as an offset.)

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Table 4.7 Team Attendance Arrests Team Attendance Arrests Aston Villa 404 308 Shrewsbury 108 68 Bradford City 286 197 Swindon Town 210 Leeds United 443 184 Sheffield Utd. 224 60 Bournemouth 169 149 Stoke City 211 West Brom 222 132 Barnsley 168 Hudderfield 150 126 Millwall 185 44 Middlesbro 321 110 Hull City 158 Birmingham 189 101 Manchester City 429 Ipswich Town 258 99 Plymouth 226 Leicester City 223 81 Reading 150 20 Blackburn 211 79 Oldham 148 19 68423229 67 57 55 35 Crystal Palace 215 78 Source: The Independent (London), Dec. 21, 1988.