Question

284 patients with coronavirus have been hospitalised in the city hospital. 142 have been treated with anti-viral medication and 142 have not.

Perform a hypothesis test to determine if there is an association between patients being given anti-viral drugs and developing pneumonia. Use a 5% level of significance.

The observed values are presented in the table below.

  Anti-viral Drug Treatment

	With drugs	No drugs given	Total
Pneumonia	86	106	192
No pneumonia	56	36	92
Total	142	142	284

  Anti-viral Drug Treatment

	With drugs	No drugs given	Total
Pneumonia	Answer	Answer	192
No pneumonia	Answer	Answer	92
Total	142	142	284

      Contributions to the χ² test statistic

	With drugs	No drugs given
Pneumonia	1.0417	Answer
No pneumonia	Answer	2.1739

Answer 1