Health. A drug that reduces cholesterol level is suspected to increase the risk of heart attack, which could be dangerous. A test of the drug fails to reject the null hypothesis of no increase in the risk of heart attack when tested at a = 0.05.

a) If the test had been performed at a = 0.01, would the test have been likely to reject the null hypothesis of no increase in the risk of heart attack?

b) Which alpha level should be used? Why?