Suppose we wish to compare the probabilities of dying of a hospital-acquired infection between two hospitals. The following table summarizes the times (in days) of death or discharge for 200 subjects who acquired an infection in hospital A (denoted with subscript 1), and for 200 subjects who acquired an infection in hospital B (denoted with subscript 2). Use this table to answer the following questions. t R1 R2 R D1 D2 D C1 C2 C 0 200 200 400 0 0 O O 0 0 2 200 200 400 7 15 22 8 1 9 4 185 184 369 18 21 39 2 8 10 6 165 155 320 20 38 58 2 6 8 8 143 111 254 30 25 55 31 38 69 10 82 48 130 18 15 33 43 28 71 t = time (in days) R = number at risk at the start of that time point D = number of deaths in that time point C = number censored in that time point Question 5 4 pts Using the log-rank test, compare the survival curves for dying of a hospital-acquired infection between two hospitals. Let 51(t) be the true population cumulative survival for dying of a hospital-acquired infection in Hospital A and 52(t) the true population cumulative survival for dying of a hospital-acquired infection in Hospital B H0: 51\") = 52(t) H1: Silt) 3' Szltl What is the continuity-corrected X2 statistic? (round answer to at least 2 decimal places) Question 6 2 pts What is the p-value? (please round to at least 3 decimal places) Question 7 2 pts Which of the following statements best summarizes your findings? O These data show that there is not a statistically significant difference in probability of dying from a hospital-acquired infection between the two hospitals (p = 0.008). O These data show that there is not a statistically significant difference in probability of dying from a hospital-acquired infection between the two hospitals (p > 0.05). O These data show that there is a statistically significant difference between the two hospitals. O These data show that there is not a statistically significant difference in probability of dying from a hospital-acquired infection between the two hospitals (p = 0.004). These data show that there is a statistically significant difference in probability of dying from a hospital-acquired infection between the two hospitals (p = 0.008). O These data show that there is a statistically significant difference in probability of dying from a hospital-acquired infection between the two hospitals (p = 0.004)