Question: Labor force. Immigration reform has focused on dividing Illegal immigrants into two groups: long-term and short-term. According to a recent report, short-term unauthorized workers make up nearly \(6 \%\) of the U.S. labor force in construction (Pew Hispanic Center Fact Sheet, April 13,2006 ). The regions of the country with the lowest percentage of unauthorized short- term immigrant construction workers are the Northeast and the Midwest. In a random sample of 958 construction workers from the Northeast, 66 are illegal short-term immigrants. In the Midwest, 42 out of a sample of 1070 are illegal short-term immigrants.

1. Is there evidence that the percentage of construction workers who are illegal short-term immigrants differs in the two regions?
2. Give a \(90 \%\) confidence interval for the difference in proportions.

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