Based on the results below, how would you describe the relationship between hear

Question

Based on the results below, how would you describe the relationship between heart attack patients being treated with aspirin and whether or not they lived?                                             Males who Lived                 Males who did not live
Male heart attack patients              15                                           2
treated with aspirin

Male heart attach patients              4                                            8
not treated with aspirin

2 9.39, df = 1, p < .01

Explanation / Answer

Given table data is as below

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calculation formula for E table matrix

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expected frequecies calculated by applying E - table matrix formulae

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calculate chisquare test statistic using given observed frequencies, calculated expected frequencies from above

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set up null vs alternative as
null, Ho: no relation b/w X and Y OR X and Y are independent
alternative, H1: exists a relation b/w X and Y OR X and Y are dependent
level of significance, = 0.05
from standard normal table, chi square value at right tailed, ^2 /2 =3.8415
since our test is right tailed,reject Ho when ^2 o > 3.8415
we use test statistic ^2 o = (Oi-Ei)^2/Ei
from the table , ^2 o = 9.3855
critical value
the value of |^2 | at los 0.05 with d.f (r-1)(c-1)= ( 2 -1 ) * ( 2 - 1 ) = 1 * 1 = 1 is 3.8415
we got | ^2| =9.3855 & | ^2 | =3.8415
make decision
hence value of | ^2 o | > | ^2 | and here we reject Ho
^2 p_value =0.0022
ANSWERS
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null, Ho: no relation b/w X and Y OR X and Y are independent
alternative, H1: exists a relation b/w X and Y OR X and Y are dependent
test statistic: 9.3855
critical value: 3.8415
p-value:0.0022
decision: reject Ho      
exists a relation b/w heart attack patients being treated with aspirin, men who lived

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