In: Statistics and Probability
Bluebird is a school bus company with no seat belts on buses in Fort Valley, Georgia. A previous study showed that 60% of parents favored seat belts on all buses. The company would like to decide whether seat belts on all buses must be installed or not. To investigate that, a random sample of 100 parents in certain school districts will be obtained and the responses will be used to make such a decision. Seat belts on all buses will be installed if more than 62% of parents favor this change in this survey. a) Set up ?0 and ?1. b) Calculate the probability of a Type I error. c) Calculate the probability of a Type II error when the proportion of parents who favor seat belts on all buses is ? = 0.65. d) Calculate the power of the test.