Question

8.2.9
​In a study of the relationship between sleep apnea and hypertension (New England Journal of Medicine, 2000), researchers Peppard et al. categorized the participants by the severity of sleep apnea at the beginning of the study, and four years later recorded whether or not the participant had hypertension. Here is the table of the summarized data:




Calculate the chi-square statistic by setting up the formula with appropriate numbers.

X² = Enter your answer in accordance to the question statement

Answer 1

DATE 63 277 616 NO 155 365 Total 1871 893 - Anc) Given that x = 0.05 Oils & Not | Somewhat servere Very / Total Yes 32 142 69 27 507 132 67 ro To test hypothers : 2010- Ho There is no relationship between sleep Opreos & hypertension Hi There is relationship between sleep apnea & hypostension L' : corrosponding columns Tołal X Row fatal Ei= 1878279 -58.01 #3 - 187 X 616 2 128.99 893 893 {s: 507 x 277 -157.27 14.507X616 - 349.73 893 H899 E5 132X 977 E6 = 1328 616 893 ET = 67X217 2 20.48 €83 64 8616 893 40.95 . 91:05 893 100 46.22 Ellis & Not yes 158.01 No 128.99 somewhat severo 157.27 40.95 349.73 91.05 very 20.78 46.22

Jest statistic & Xcel E 58.01 + 200 -- 20:48) 20.78 04 (0)-E;)? mo (82-58-01)2 (142-197.27)24 (63-40.95)2 157.27 40.95 T0 (155-128.991 +(965- 349.73)2 128.99 B 349-73 + (69-9110512 (21-46.22)2 91.05 whol 146.22 012 11.66+1.48 +11.88+17.77+5 24 9.67+5:34 +7.99 Xocal = 62.0323 diciotolar ber p.value = PIKêr-13CC-1) > Xical P[ X C21 (4-1) > 62.0323 from X² table P-value ..0.00001) Here p-value if d = 0.05 * We roject to af d = 0.05 GP of conclusion: There e sufficient evidence to conclude that there is relationship between sleep apnea & hypertension at 2:00's

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