Suppose you are scheduled to ride a space vehicle that will orbit the earth and return. A statistical test of hypotheses includes the step of setting a maximum for the probability of falsely rejecting the null hypothesis. Engineers need to make various measurements to decide if it is safe or unsafe to launch the vehicle.

(a) Explain how you would formulate the null hypothesis.

(b) Would you prefer \(\alpha=0.05\) or \(\alpha=0.01\) ? Explain your reasoning.