Gestational diabetes mellitus (GDM) is a condition that causes serious adverse p
ID: 3205037 • Letter: G
Question
Gestational diabetes mellitus (GDM) is a condition that causes serious adverse perinatal outcomes in pregnancy. It is estimated that approximately 11.7% of women may have GDM during pregnancy. A clinic trial was initiated to test a screening method for GDM among 37 pregnant women who are with GDM and 33 pregnant women without GDM. The results are listed below
a) what is the priori probability of GDM?
B) If a pregnant women who has not seen a gynecologist/obstetrician before had a postitive result for the screening test, what is the probability for this pregnant women having GDM?
C) If the women in B) had a negative test result, how likely is that she does not have GDM?
test(+) test(-) total Women with GDM 36 1 37 Women without GDM 2 31 33Explanation / Answer
A) Prioir probability:
It is given in the question that 11.7% of women may have GDM during pregnancy.
Hence, the prioir probability of GDM is 0.117.
B) If a pregnant women who has not seen a gynecologist/obstetrician before had a postitive result for the screening test, it means that it is same as the prioir probability which is 0.117.
C) If the women in B) had a negative test result, how likely is that she does not have GDM?
Total number of negative results in the table is 32 (Total of test(-) column: 1+31).
In total 32, number of women who not have GDM = 31.
Hence, the probability that women will not have GDM given the test is negative = 31/32 = 0.9687
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