business statistics is the subject

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heading Heading a Question ! (10 marks) A company has developed two new versions of tests to detect COVID-19 infections in patients. The company has been testing the effectiveness of the two COVID-19 tests. Researchers employed by the company performed two separate trials, one for version I and one for version 2 of the COVID-19 test. The tables below provide the data from the trials Trial of version 1 of the COVID-19 test Had COVID-19 Did not have COVID-19 Patient tested positive 101 20 Patient tested negative 5 2000 Trial of version 2 of the COVID-19 test Had COVID-19 Did not have COVID-19 Patient tested positive 102 40 Patient tested negative 40 2000 Canterbury of How I Heart NORTH SYDNEY NEW 106 Phone230075646 22101958 Webm SUSSION BS Phelon The company wants you to apply statistical techniques to evaluate the efficacy of each version of the COVID-19 detection test that they have developed 1. Describe the relationship between the variables by calculating and comparing proportions for each version of the COVID-19 test (4 marks) 2. Which version of the COVID-19 test is better (version 1 or version 2)? Give reasons for your answer. (2 marks) 3. For version 2 of the COVID-19 test, find the 90% confidence interval for the probability that someone will test positive given that they have the disease. (2 marks) 4. For version 1. test the claim that the probability someone will test positive in the COVID-19 test given that they have the disease is above 90%. The p-value is 0.086. Use a 5% level of significance. (2 marks) FEES