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Hi, I am having trouble working through this question, please help Question 4 [20 marks} Given the recent CO'v'lD19 outbreaks in NSW, a public health

Hi, I am having trouble working through this question, please help

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Question 4 [20 marks} Given the recent CO'v'lD19 outbreaks in NSW, a public health researcher in Sydney is interested to know if there is any association between the age of CD'v'lDl patients in NEW and their survival status. The researcher observed a random selection of see CUVlD-lg' patients' information and their data are summarised in the following table. Age of COMB-19 patient {a} Suppose the researcher randomly select a patient from these 500 [SQUID19 patients. i. What is the probability that the selected patient has survived? [1 mark} ii. What is the probability that the selected patient has survived given that the patient age 2-5 years? {2 marks} {b} Under the assumption of no association between the age of CU'v'lDl patients in NEW and their survival status, some of the expected numbers have been calculated and are provided in the following table. Age of CDVIEIE patient Survivalstatus 25-50 years 15am 138-123 _m 48.1% 39-81? Calculate the two missing expected numbers [i. to ii.] in the table above. Compare your ndings with the actual counts. {2 marks).T {c} Perform a hypothesis test at the 596 level to determine whether the age of CD'v'lDl patients in NEW and their survival status are independent. You may use the output below. Clearly identifyr the test you use [e.g. test statistic and distribution]; state clearly the null and alternative hypotheses, decision rule, test result and conclusion in terms of the original problem. {6 marks} Pearson's Chisquared test data: .Tahle X-squared = 32.4?4, df = 2, p-value = 0.00000008878 {d} State any two assumptions for the hypothesis test in part {c} to be valid and demonstrate that they are satised. {3 marks}

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