Question

Table 7.14:Fifty years survival for men after graduation from the University of Adelaide

                                                                           Faculty

Years of graduation	Medicine S     T	Arts S   T	Science S   T	Engineering S   T
1938	18   22	16   30	9   14	10   16
1939	16   23	13   22	9   12	7   11
1940	7   17	11   25	12   19	12   15
1941	12   25	12   14	12   15	8   9
1942	24   50	8   12	20   28	5   7
1943	16   21	11   20	16   21	1   2
1944	22   32	4   10	25   31	16   22
1945	12   14	4   12	32   38	19   25
1946	22   34		4   5
1947	28   37	13   23	25 31	25   35
Total	177   275	92   168	164   214	100   139

Table 7.15 Fifty years survival for women after graduation from the University of Adelaide

                                                                        Faculty

Year of graduation	Arts S   T	Science S   T
1938	14   19	1   1
1939	11   16	4   4
1940	15   18	6   7
1941	15   21	3   3
1942	8   9	4   4
1943	13   13	8   9
1944	18   22	5   5
1945	18   22	16   17
1946	1   1	1    1
1947	13   16	10   10
Total	126   157	58   61

Tables 7.14 and 7.15 show the survival 50 years after graduation of men and women who graduated each year from 1938 to 1947 from various faculties of the University of Adelaide (data complied by J.A Keats).The columns labelled S contain the number of graduates who survived and the columns labelled T contain the total number of graduates.They were insufficient women graduates from the faculties of Medicine and Engineering to warrant analysis.

a) Are the proportions of graduates who survived for 50 years after graduation the same all years of graduation?

b) Are the proportions of male graduates who survived for 50 years after graduation the same for all faculties?

c) Are the proportions of female graduates who survived for 50 years after graduation the same for arts and science?

d) Is the differences between men and women in the proportion of graduate who survived for 50 years after graduation the same for arts and science?

Answer 1

(a)

Proportions of graduates who survived for 50 years after graduation:

1938: 68/102 = 0.67

1939: 60/88 = 0.68

1940: 63/101 = 0.62

1941: 62/87 = 0.71

1942: 69/110 = 0.63

1943: 65/86 = 0.76

1944: 90/122 = 0.74

1945: 101/128 = 0.79

1946: 28/41 = 0.68

1947: 114/152 = 0.75

Therefore, we can say that the proportions of graduates who survived for 50 years after graduation is not the same for all years of graduation.

(b)

Proportions of male graduates who survived for 50 years after graduation:

Medicine: 177/275 = 0.64

Arts: 92/168 = 0.55

Science: 164/214 = 0.77

Engg.: 100/139 = 0.72

Therefore, we can say that the proportions of male graduates who survived for 50 years after graduation are not the same for all faculties.

(c)

Proportions of female graduates who survived for 50 years after graduation:

Arts: 126/157 = 0.80

Science: 58/61 = 0.95

Therefore, we can say that the proportions of female graduates who survived for 50 years after graduation are not the same for arts and science.

(d)

Differences between men and women in the proportion of graduate who survived for 50 years after graduation:

Arts: 0.80-0.55 = 0.25

Science: 0.95-0.77 = 0.18

Therefore, we can say that the differences between men and women in the proportion of graduate who survived for 50 years after graduation are not the same for arts and science.