A study was undertaken to determine if the amount of daily caffeine had an influ
ID: 3360070 • Letter: A
Question
A study was undertaken to determine if the amount of daily caffeine had an influenced on the probability of a miscarriage in pregnant women. The amount of caffeine ingested in a day was broken down into none, some but < 200 mg, and > 200 mg. We will focus on the number and proportion for women who consumed more than 200 mg of caffeine a day. The data are shown below.
Miscarriage
Caffeine
Yes
No
Row Total
None
32
232
264
< 200 mg
99
536
635
> 200 mg
41
123
164
Column Total
172
891
1063
If the proportion of women who consumed more than 200 mg of caffeine a day who had a miscarriage is .25 (41/164), what is the standard error for a 95% Confidence Interval for this estimated proportion.
Miscarriage
Caffeine
Yes
No
Row Total
None
32
232
264
< 200 mg
99
536
635
> 200 mg
41
123
164
Column Total
172
891
1063
Explanation / Answer
p= 0.25
standard error
= sqrt( p * (1-p)/n)
= sqrt( 0.25 * 0.75 /164)
= 0.034
hence choose B
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