Conduct a test on the association between the failure score and the operative mo

Question

Conduct a test on the association between the failure score and the operative mortality category.

Conduct a trend test using the mortality 0-4 failure score.

Please show step by step

Thank you

7.11 Congestive heart failure occurs when the heart is not pumping sufficient blood. A heart damaged by a myocardial infarction, heart attack, can incur congestive heart failure A score from 0 (good) to 4 (bad) for congestive heart failure is related to operative mortality. Congestive Heart Failure Score Usual Operative Mortality Yes No %operative mortality 1.6 3.4 ? 68 2 3 4 X2 = 46.45 73 5013 12 4 4480 1394 404 16436 p=1.8E-9

Explanation / Answer

Ans:

H0:The heart failure score and the operative mortality are independent.

Ha:The heart failure score and the operative mortality are not independed(or are accociated)

Expected count=row sum*column sum/grand total

Total chi square score=46.45

df=(2-1)*(5-1)=4

p-value=chidist(46.45,4) =0

Assume significance level=0.05

As,p-value<0.05,we reject null hypothesis.

There is sufficient evidence to conclude that heart failure score and the operative mortality are not independed(or are are accociated)

Observed count(O) 0 1 2 3 4 Total Yes 73 50 13 12 4 152 No 4480 1394 404 164 36 6478 Total 4553 1444 417 176 40 6630 Expected count(E) 0 1 2 3 4 Total Yes 104.38 33.11 9.56 4.03 0.92 152 No 4448.62 1410.89 407.44 171.97 39.08 6478 Total 4553 1444 417 176 40 6630 (O-E)^2/E 0 1 2 3 4 Yes 9.435 8.622 1.238 15.723 10.364 No 0.221 0.202 0.029 0.369 0.243

Total chi square score=46.45

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