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.

The test statistic for the hypothesis test is a z test statistic, so the p-value will be calculated the same way that the p-value for a one-proportion test. The test statistic for this hypothesis test is z=2.0634z=2.0634. Use this information to determine which of the following values is the correct p-value for this hypothesis test.

0.0195

0.0250

0.0390

0.0500