Cardiac Arrest at Day and Night. A study investigated survival rates for in-hospital patients who suffered cardiac arrest. Among 58,593 patients who had cardíac arrest during the day, 11.604 survived and were discharged. Among 28,155 patients who suffered cardiac arrest at night, 4139 survived and were discharged (based on data from "Survival from In-Hospital Cardiac Arrest During Nights and Weekends" by Peberdy et al., Journal of the American Medical Association, Vol. 299. No. 7). We want to use a 0.01 significance level to test the claim that the survival rates are the same for day and night. In this example, use a confidence interval rather than a hypothesis test to help draw conclusions.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Cardiac Arrest at Day and Night. A study investigated survival rates for in-hospital patients who suffered cardiac arrest. Among 58,593 patients who had cardíac arrest during the day, 11.604 survived and were discharged. Among 28,155 patients who suffered cardiac arrest at night, 4139 survived and were discharged (based on data from "Survival from In-Hospital Cardiac Arrest During Nights and Weekends" by Peberdy et al., Journal of the American Medical Association, Vol. 299. No. 7). We want to use a 0.01 significance level to test the claim that the survival rates are the same for day and night. In this example, use a confidence interval rather than a hypothesis test to help draw conclusions.
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