Group Treatment Subjects No relapse Proportion Here is the two-way table of the cocaine addiction data 0.250 0.167 relapse No Ye D 080 The sample proportions of subjects who We want to test the null hypothesis that stayed off cocaine are quite different. Are there are no differences among the these data good evidence that the proportions of successes for addicts given proportions of successes for the three the three treatments treatments differ in the population of all cocaine addicts? P1=p2=P3 Does success differ significantly The alternative hypothesis is that there is between the treatments? some difference that not all three proportions are equal Is there a significant relationship between treatment and success? H,: not all of p, p,, and pa are equal7 13 3 P 24 4 0.167 2 L 24 6 0.250 1 D 24 14 0.583 Group Treatment Subjects No relapse Proportion 14 • The sample proportions of subjects who stayed off cocaine are quite different. Are these data good evidence that the proportions of successes for the three treatments differ in the population of all cocaine addicts? Does success differ significantly between the treatments? Is there a significant relationship between treatment and success? 8 15 Here is the two-way table of the cocaine addiction data: 16 • We want to test the null hypothesis that there are no differences among the proportions of successes for addicts given the three treatments: • The alternative hypothesis is that there is some difference, that not all three proportions are equal: 01 2 3 Hp p p : = = 1 12 3 H pp p : not all of , , and are equal