The probability that a train is behind schedule is 0.3. A new engine with better acceleration is to be tried on the route to see if the arrival time can be improved. To test the effectiveness of the engine improvements, 10 trials along the route are conducted. The train was behind schedule once. a. State the hypothesis to be considered. b. Identify the test statistic and state the null distribution. c. The test is to be conducted at a significance level of 5%. Find the critical region for this test.

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