Research suggests that chest-compression-only (CC) may be more effective than standard cardiopulmonary resuscitation (CPR) for out-of-hospital cardiac arrest (Cabrini et al, 2010). A meta-analysis by the authors found that, of the 1842 cases where CC instructions had been given, 211 patients survived and that, of the 1895 cases where CPR instructions had been given, 178 patients survived.

This situation calls for inference for the difference between two population proportions, which is not a topic that we discussed this term. Even so, in this question, we will extend our knowledge to this scenario.

Researchers claim that chest-compression only (CC) is more effective than cardiopulmonary resuscitation (CPR). The parameter of interest is pCCpCPRpCCpCPR, where pCCpCCrepresents the survival rate of patients who received CC for out-of-hospital cardiac arrest and pCPRpCPRrepresents the survival rate of patients who received CPR treatment for out-of-hospital cardiac arrest.

Which of the following is the correct set of hypotheses to test the researcher's claim?

H0:pCCpCPR=0 versus HA:pCCpCPR<0

H0:pCCpCPR=0 versus HA:pCCpCPR0

H0:pCCpCPR=0 versus HA:pCCpCPR>0