Question 351370
A recent study reports that 2.5% of elementary children are allergic to peanuts. 
A random sample of 200 elementary school children is collected to test this. 
Compute the probability that proportion of children in the sample of 200 who are allergic to peanuts is 3% or less.
---
z(0.03) = (0.030-0.025)/sqrt[0.025*0.975/200] = 0.4529
-------------------
P(p-hat<=0.030) = P(z<=0.4529) = 0.6747
==========================================
Cheers,
Stan H.
===