Question 1 (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 1 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

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)