1. If n = 540 and p (p-hat) = 0.15, construct a 95% confidence interval. Give your answers to three decimals < p <

2.Out of 300 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places < p <

3.Based on past experience, a bank believes that 9 % of the people who receive loans will not make payments on time. The bank has recently approved 200 loans.

What assumptions must be true to be able to approximate the sampling distribution with a normal model? Assumptions:

What are the mean and standard deviation of this model? mean = standard deviation (accurate to 3 decimal places) =

What is the probability that over 10% of these clients will not make timely payments?

4.Express the confidence interval (19%,34.8%) in the form of pME. % %

5.Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 128 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion is greater than 0.36? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Answer = (Enter your answer as a number accurate to 4 decimal places.)