Table 7.14: Fifty years survival for men after graduation from the University of
ID: 2909893 • Letter: T
Question
Table 7.14:Fifty years survival for men after graduation from the University of Adelaide
Faculty
Medicine
S T
Arts
S T
Science
S T
Engineering
S T
Table 7.15 Fifty years survival for women after graduation from the University of Adelaide
Faculty
Arts
S T
Science
S T
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?
Years of graduationMedicine
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 139Explanation / Answer
(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.
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