Question

384 patients with coronavirus have been hospitalised in the city hospital. 240 have been treated with anti-viral medication and 144 have not.  

Perform a hypothesis test to determine if there is a relationsip between patients being given anti-viral drugs and developing pneumonia. Use a 1% level of significance.

The observed values are presented below.

Anti-viral drug treatment:

  

	with drugs	with no drugs	total
Pneumonia	60	120	180
No pneumonia	180	24	204
total	240	144	384

1- fill the expected values in the table below

anti-viral drug treatment

	with drugs	with no drugs	total
Pneumonia	?	?	180
No pneumonia	?	?	204
total	240	144	384

2- fill in the two missing x² values

contribution to the x² test statistics

	with drugs	with no drugs
pneumonia	24.5	?
no pneumonia	?	36.0294

3- calculate test statistics (2dp)

4- reject H₀ if x² > ___ (3dp)

5- (reject/ do not reject) H₀, there is (sufficient/insufficient) evidence to indicate that there is a relationship between drug treatment and pneumonia

Answer 1