Question: a) Compare and contrast stratified sampling and cluster sampling. Under what circumstances would we choose these techniques over a simple random sample?

b) A corporation has 30 outlets in the Northeast, 40 in the South, 60 in the Midwest and 45 in the West. Using a proportional allocation of a random sample of 20% of the outlets, the manager records the following proportion of stores expecting sales to increase over the next year.

Region Proportion

North 0.333

South 0.25

Midwest 0.167

West 0.222

Estimate the population proportion. Develop a 90% confidence interval for the population proportion?

c). A sales representative has 398 accounts. From a random sample of 56 of these accounts, she finds that 27 had placed an order within the last 30 days. Estimate the 90% confidence interval for the proportion of all accounts that placed an order within the last 30 days.

d). Explain why non-response error may bias the results of a survey

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