Question

given the

CUMPiele. Cepel PIUDIClll sel Attention: Due to a bug in Google Chrome, this page may not function correctly. Click here to learn more. 5. The chi-square test for independence - 2x2 Aa Aa E 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. He samples 400 terminally ill patients to see whether their practicing a religion is related to how likely they are to seek intensive life-prolonging care. The following table shows the results of the study. Observed Frequencies Practices a Religion Seeks Intensive Life-Prolonging Care No 176 184 Yes 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 seek intensive life-prolonging care is an) 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 population sampled must be normal. The smallest expected frequency must be at least five. The observations must be independent. C/af/servlet/quiz?quiz action=takeQuiz quiz_prob Guide

Answer 1

Page No. Date seeks intensive life - prolonging care total practices a religion yes No Yes - 32 176 208 NO. 8 184 192 Total 40 360 400 the smallest expected frequency must be at least 5 Expected frequencies. _seeks ntensive life-pylonging care practices a religion yes no 20.8 187.2 19.2 172.8 NO Coi-Eise Ei 600307 f 0.6700d +6.5333 +0.7259 13.9599 ill He: there is no relation between termin ally patients practices a religion and they seek intensive life-potonging care. Vs There is relationship beth. terminally in patients practices religion and they seek intensive liter paplonging core. dt= = (2-1) c(-1) (2-1) (2-1)

Page No Date Test statistic, x² = Ę (Oi-Eij? x² = 13.95gg Ei Criticae valle- alt X=0.05 Xenit = 3.841 Decision Rule:- 2² - 13.9599 > Xin't = 3.841 Reject Ho. Becakes e chi-square statistic greater than the critical value, the researcher rejeet the nun hypothesis and conclude that there is convincing evidence of aa significant relationship - between whether terminally ill patients practice a religion and whether they seek intensive life-poo longing care