Based on historical data, your manager believes that 34% of thecompany's orders come from first-time customers. A random sample of71 orders will be used to estimate the proportion offirst-time-customers. What is the probability that the sampleproportion is less than 0.32?

Note: You should carefully round any z-values you calculate to 4decimal places to match wamap's approach and calculations.

Answer =0.3555 was wrong

B.Based on historical data, your manager believes that 32% ofthe company's orders come from first-time customers. A randomsample of 138 orders will be used to estimate the proportion offirst-time-customers. What is the probability that the sampleproportion is between 0.21 and 0.35?

Note: You should carefully round any z-values you calculate to 4decimal places to match wamap's approach and calculations.

Answer = 0.7736 was the wrong answer (Enter your answer as a numberaccurate to 4 decimal places.)

C.You want to obtain a sample to estimate a populationproportion. At this point in time, you have no reasonable estimatefor the population proportion. You would like to be 90% confidentthat you esimate is within 2.5% of the true population proportion.How large of a sample size is required?

n =
Do not round mid-calculation. However, use a critical valueaccurate to three decimal places.