A study investigated survival rates for in-hospital patients who suffered cardiac arrest. Among 58,583 patients who has cardiac arrest during the day, 11,604 survived. Among 28,155 patients who suffered cardiac arrest during the night, 5350 survived. A physician claims that the survival rate of those who suffer cardiac arrest during the day is higher than the survival rate of those who suffer cardiac arrest during the night.
a) Perform a complete hypothesis test to test their claim at the 5% level of significance. Use the P-value method.
b) Construct a 90% confidence interval on the difference of proportions. Explain how your CI comes to the same conclusion as part a).
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