SOLUTION: 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 probab

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Question 358279: 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. ( < .03).
Answer by stanbon(75887) About Me  (Show Source):
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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. ( < .03).
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z(0.03) = (0.03-0.025)/sqrt[0.025*0.975/200] = 0.4529
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P(p-hat < 0.03) = P(z < 0.4529) = normalcdf(-100,0.4529) = 0.6750
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Cheers,
Stan H.
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