Suppose you have a plan to board a spacecraft that will orbit the Earth and return. A statistical probability test includes the step of setting a maximum for the probability of falsely rejecting the null hypothesis. Engineers need to make several measurements to decide if it is safe or unsafe to launch the vehicle.
a) Explain how to formulate the null hypothesis.
b) Would you prefer a = 0.05 or a = 0.01? Explain your reasoning.