P(Y = 3) is equal to 0 2. In a study to find the proportion of children with ast
ID: 3258490 • Letter: P
Question
P(Y = 3) is equal to
0
2. In a study to find the proportion of children with asthma in a certain population, we desire a 95% confidence interval with standard error no more than 0.05. Without any prior knowledge of the proportion, what should be our minimum sample size?
80
92
96
100
0
2. In a study to find the proportion of children with asthma in a certain population, we desire a 95% confidence interval with standard error no more than 0.05. Without any prior knowledge of the proportion, what should be our minimum sample size?
80
92
96
100
Explanation / Answer
1. For walson adjusted proportion out of n = 10 trials
p^ = (x+2)/ (n+4) = (3+2)/ (10+4) = 5/14 (option B)
2. standard error < 0.05
so sqrt [p(1-p)/N] < 0.05
minimum sample size will occur when p = 0.5
so sqrt [0.5 * 0.5 /n] < 0.05
0.25/ N < 0.0025
N > 100
so answer is option D , that is 100.
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