Key to Exercises (Binary Outcome, Cohort or Cross-Sectional Sample)

(1) EAR.REC
(A) p1 = 89 / 150 = 59%; p2 = 56 / 128 = 44%; RR = 1.4 (95% CI: 1.1, 1.7).
(B)  H0: RR = 1 vs. H1: RR not = 1; let a = .05, Chi-square, uncorrected (1, N = 278) = 6.72, p = .0095, Reject H0
(C) Clearance rates were 40% better with Cefaclor -- 59% vs. 44%.

(2) PRISON.REC. p1 = 61 / 136 = .4485; p2 = 27 / 339 = .0796; Prevalence ratio = 5.6 (95% confidence interval: 3.8, 8.5). The prevalence of HIV sero-positivity in intravenous drug users is 5.6 times that of non-users.

(3) LABOR.REC. p^1 = 1 / 111 = .009; p^0 = 13 / 117 = .111; RR = 0.08 (95% confidence interval: 0.01, 0.61; p = .0013 by the uncorrected chi-square method. The induced group had a significantly lower risk of meconium staining (1% vs. 11%).

(4) OSWEGO.REC
Food Ate Food (Exposed) Did Not Eat Food (Unexposed) RR 95% CI for RR Sig?
Ill Total % Ill Total %
Baked Ham 29 46 63% 17 29 59% 1.1 0.7 - 1.6 NS
Spinach 26 43 61% 20 32 63% 1.0 0.7 - 1.4 NS
Mashed P 23 37 62% 23 37 62% 1.0 0.7 - 1.4 NS
Cab Sal. 18 28 64% 28 47 60% 1.1 0.8 - 1.6 NS
Jell-O 16 23 70% 30 52 58% 1.2 0.8 - 1.7 NS
Rolls 21 37 57% 25 38 66% 0.9 0.6 - 1.2 NS
Br. bread 18 27 67% 28 48 58% 1.1 0.8 - 1.6 NS
Milk 2 4 50% 44 71 62% 0.8 0.3 - 2.2 NS (F)
Coffee 19 31 61% 27 44 61% 1.0 0.7 - 1.4 NS
Water 13 24 54% 33 51 65% 0.8 0.6 - 1.3 NS
Cakes 27 40 68% 19 35 54% 1.2 0.9 - 1.8 NS
Van. ice cr 43 54 80% 3 21 14% 5.6 1.9 - 16.0 <.0001
Choc. ice cr 25 47 53% 20 27 74% 0.7 0.5 - 1.0 NS
Fruit salad 4 6 67% 42 69 61% 1.1 0.6 - 2.0 NS (F)

(F) indicates Fisher's test.

Vanilla ice-cream was the only food associated with a significant increase in risk and is thus the most likely source of infection.

(5) RESTENOS

Resten + Resten - Total
Cytomeg. + 21 28 49
Cytomeg. - 2 24 26

rr = 5.6 (95% confidence interval for RR: 1.4, 21.9). Data suggest a positive association between cytomegalovirus infection and arterial restenosis has been demonstrated. Causal inferences would require additional information.

(6) PHENFORM
Phenformin group: 13% (26 of 204); Placebo group: 3% (2 of 64).

2-by-2 table

Died Survived Total
Phenformin 26 178 204
Control 2 62 64

rr = 4.1 (95% confidence interval for RR: 1.0, 16.7). The phenformin group had a much higher risk of death due to cardiovascular disease (13% vs. 3%). This raises the suspicion of that phenformin causes this adverse health outcome.

(7) SIZE-COH
(A) For RR = 2.0, N = 130 (i.e., n1 = n2 = 165). For RR = 3.0, N = 38

(8) BI-HELM1 pSanta Clara = 312 / 844 = .370; pContra Costa = 335 / 807 = .415; rr = 0.9 (95% confidence interval for RR: 0.8, 1.0). Counties had similar incidences of helmet use.

(9) OC-MI
2-by-2 cross-tabulation.

MI+ MI- TOTAL
OC+ 13 4987 5000
OC- 7 9993 10000
20 17980 15000

rr = 3.71 (95% CI for RR = 1.48, 9.30).
OC users were 3.7 times as likely to experience an MI.