Immigration reform has focused on dividing illegal immigrants into two groups: long-term and short-term. In a random sample of 976 construction workers from the Northeast, 91 are illegal short-term immigrants. In the Midwest, 64 out of a sample of 1136 are illegal short-term immigrants. a)Is there evidence that the percentage of construction workers who are illegal short-term immigrants differs in the two regions? Use = 0.10.

State the hypotheses for this test.

Identify the test statistic for the appropriate chi-square test.

2

=(Round to two decimal places as needed.) Identify the P-value.

P-value =(Round to three decimal places as needed.)

Interpret the meaning of the results and state a conclusion.

(3)H0 . There (4)sufficient evidence to conclude that the percentage of construction workers who are illegal short-term immigrants differs in the two regions.

a)Give a 90% confidence interval for the difference in proportions (Northeast minus Midwest). Assume that all necessary assumptions and conditions are satisfied.