SOLUTION: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 53.5%. What is the probability that in a random sample of 580 voters, less t

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Question 1177259: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 53.5%. What is the probability that in a random sample of 580 voters, less than 49.8% say they will vote for the incumbent?
Probability =
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
μ = .535

z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29
 x̄ = .498  n = 580

z+=blue+%28.498+-.535%29%2Fsqrt%28blue%28.535%28.465%29%2F580%29%29 = -1.7865
P( z ≤  -1.7865) =  .037  0r 3.7%

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