6. The chi-square test for independence 2x2 Aaa Aa Individuals with strong relig

Question

6. The chi-square test for independence 2x2 Aaa Aa Individuals 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 coping and use of intensive life-prolonging care near death in patients with advanced cancer." Journal of the American Medical Association, 301 (2009 1140-1147 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 300 terminally ill patients to see whether their practicing a religion is related to how likely they are to want their doctors to do everything possible to prolong their lives. The following table shows the results of the study observed Frequencies Wants His or Her Doctor to Do Everything Possible Practices a Religion Yes No Yes 124 No 146 Given these data, the most appropriate test to use to check whether there is a significant relationship between whether terminally ill patients practice a religion and whether they want their doctors to do everything possible to prolong their lives is a (n) chi-square test for independence To do this test, which of the following assumptions and/or restrictions are required? Check all that apply. There must be homogeneity of variance. The variables must be independent of each other. The observations must be independent. The population sampled must be normal

Explanation / Answer

THE OBSERVATION MUST BE INDEPENDENT

EXPECTED FREQUENCY

PRACTICE RELIGION WANT HIS DOCTOR

YES NO

YES 14.1 126.9

NO 15.9 143.1

CHI SQUARE STATIC IS 1.2503

DEGREE OF FREEDOM = (2-1) (2-1)

=1

with 0.05 critical value is 3.841

Paragraph answers

a) is below

b) accepts

c) is

  

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