Large passenger vans are thought to have a high propensity of rollover accidents when fully loaded. thirty accidents of these vans were examined, and 11 vans had rolled over. (a) test the claim that the proportion of rollovers exceeds 0.25 with 0.10. (b) suppose that the true p 0.35 and 0.10. what is the -error for this test? (c) suppose that the true p 0.35 and 0.10. how large a sample would be required if we want 0.10? (d) find a 90% traditional lower confidence bound on the rollover rate of these vans. (e) use the confidence bound found in part (d) to test the hypothesis. (f ) how large a sample would be required to be at least 95% confident that the error on p is less than 0.02? use an initial estimate of p from this problem.