13. The chi-square test for independence -2x2 Indviduals with strong religious b

Question

13. The chi-square test for independence -2x2 Indviduals with strong religious beliefs often turn to their faith to cope with stressful life events. Relying on God's love and caring is referred to as positive religious coping Andrea Phelps and her colleagues studied the relationship between positive religious coping and the type of care received by terminally ill cancer patients. Most of the patients in the study were Christian. [Source: Phelps, A. et al., Religious the American Medical Association, 301 (2009): 1140-1147.) s coping and use of intensive life-prolonging care near death in patients with advanced cancer." Journal of suppose another researcher conducts a similar sudy but uses a samale of Suppose another researcher conducts a similar study but uses a sample of patients whose religious traditions are more varied than the patients in the Phelps study. She samples 200 terminally ill patients to sce whether their practiong a religion is related to how likely they are to have a do-not-resuscitate order. The following table shows the results of the study. Observed Frequencies Do-Not-Resuscitate Order Practices a Religion Yes No- Yes No 19 61 65 Given these data, the most appropniate test to use to check whether there is a significant relationship between whether terminally il patients practice a religion and whether they have a do-not-resuscitate order is a(n) To do this test, which of the foillowing assumctione a

Explanation / Answer

1) right options:

1)variables must be independent from each other,

2) the smallest expected frequency must be atleast 5.

2)

expected frequencies:

3) from above:

chi square test stat is 18.230

has 1 degree of freedom

the critical value is 3.8415

beacuase the chi square stat is greater then the critical vlaue , the researcher must reject the null........that there are convincing,,,,,,,,,,,,,,,,,,,,

Expected E=rowtotal*column total/grand total Yes No Yes 50.400 33.600 No 69.600 46.400 Total 120 80

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