Estimating unemployment. The Bureau of Labor Statistics (BLS)

uses 90% confidence in presenting unemployment results from the monthly Current Population Survey (CPS). The January 2008 survey interviewed 134,163 people. Of these, 65,481 were employed and 3293 were unemployed.

The CPS is not an SRS, but for the purposes of this exercise, we will act as though the BLS took an SRS of 134,163 people. Give a 90% confidence interval for the proportion of those surveyed who were unemployed. (Note that this is not the unemployment rate. See Example 3 in Chapter 8 on pages 145–147 for how unemployment is measured.)