For Exercises 4–6, do the following.

  1. Provide the null and alternative hypotheses.
  2. Describe the two ways a correct decision could be made.
  3. Describe what a Type I error would mean in the context of the problem.
  4. Describe what a Type II error would mean in the context of the problem.

Question 9.390

5. Speeding-Related Traffic Fatalities. The National Highway Traffic Safety Administration reports that the mean number of speeding-related traffic fatalities over the Thanksgiving holiday period from 1994 to 2003 was 202.7. We conduct a hypothesis test to examine whether the population mean number of such fatalities has decreased.

9.99.5

(a) (b) We conclude that (1) the population mean number of speeding-related fatalities is less than 202.7 when it actually is and (2) the mean number of speeding-related fatalities is not less than 202.7 when it actually is. (c) The population mean number of speeding-related fatalities is less than 202.7 when it actually is not less than 202.7. (d) The population mean number of speeding-related fatalities is not less than 202.7 when it actually is less than 202.7.