Testing Claims about Proportions. In Exercises 718, test the given claim. Identifythe null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s),conclusion about the null hypothesis, and final conclusion that addresses the originalclaim. Cardiac arrest at Day and night A study investigated survival rates for in-hospitalpatients who suffered cardiac arrest. Among 58,593 patients who had cardiac arrest duringthe day, 11,604 survived and were discharged. Among 28,155 patients who suffered cardiacarrest 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 theAmerican Medical Association, Vol. 299, No. 7). We want to use a 0.01 significance level totest the claim that the survival rates are the same for day and night.a. Test the claim using a hypothesis test.b. Test the claim by constructing an appropriate confidence interval.c. Based on the results, does it appear that for in-hospital patients who suffer cardiac arrest,the survival rate is the same for day and night?
Econ 225: Ex. You have 12 shirts in your closet. 9 White shirts, 3 Black shirts. Suppose you pick a shirt at random. Put it on, when you get home you take it off and wash it. Suppose you do the same thing the next day, without replacing the first shirt. What is the probability that both shirts you picked out are white Day 1: P(Picking a white shirt)= 9/12 (9 white shirts/ 12 total shirts) Day 2: P(Picking white shirt) = 8/11 (8 White shirts/ 11 total shirts; given that you picked a white shirt on the first day) (Probability of day 1) * (Probability of day 2; Given that day 1’s shirt was white) = (9/12) * (8/11) = .55 Whatever happens on the first day will affect what happens on the second day. It is a dependent probability because day 2 depe
