SOLUTION: Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 71 orders will be used to estimate the proportio

Algebra ->  Probability-and-statistics -> SOLUTION: Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 71 orders will be used to estimate the proportio      Log On


   

Question 1175541: Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 71 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal distribution:  μ  = .27 (μ designates population mean)
Sample 71    P( x̄ < .32)
 z = %28.32+-+.27%29sqrt%28%28.27%2A.63%29%2F71%29 = .0024
P(x̄ < .32) = P( z ≤ .0024) = .5010
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