Greater than question

Question

Based on historical data, your manager believes that 34% of the company's orders come from first-time customers. A random sample of 141 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.29?

Answer 1

z = (0.29 - 0.34) / sqrt(0.29*0.71/141) = -1.31

p(z > -1.31) = 1 - p(z < -1.31) = 1 - 0.0951 = 0.9049