A survey of 1,026 people asked: What would you do with an unexpected tax refund? Forty-seven percent

Question:

A survey of 1,026 people asked: “What would you do with an unexpected tax refund?” Forty-seven percent responded that they would pay of debts (Vanity Fair, June 2010).
a. At 95% confidence, what is the margin of error?
b. Construct the 95% confidence interval for the population proportion of people who would pay of debts with an unexpected tax refund.