In a smoking cessation program, over 2000 smokers who were trying to quit were randomly assigned to either a group program or an
individual program. With no incentive, the proportion of smokers trying to quit who are still abstaining six months later is about 0.06. Participants in the study were randomly assigned to one of four different incentives, and the proportion successful was measured six months later. Of the 498 participants in the group with the least success, 47 were still abstaining from smoking six months later. We wish to test to see if this provides evidence that even the smallest incentive works better than the proportion of 0.06 with no incentive at all. State the null and alternative hypotheses.
