SOLUTION: Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 102 orders will be used to estimate the proporti

Algebra ->  Probability-and-statistics -> SOLUTION: Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 102 orders will be used to estimate the proporti      Log On


   

Question 1175542: Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 102 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal distribution:  μ  = .30 (μ designates population mean)
Sample 102    P( x̄ < .33)
 z = %28.33+-+.30%29sqrt%28%28.30%2A.70%29%2F102%29 = .0014
P(x̄ < .33) = P( z ≤ .0014) = .5006
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