Question

A random sample of adults in 2 different countries was asked whether national identity is strongly tied to birthplace. The results are shown below: Country A: p with hat on top subscript 1 equals 0.30 space a n d space n subscript 1 equals 1020 Country B: p with hat on top subscript 2 equals 0.14 space a n d space n subscript 2 equals 1004 Construct an 80% confidence interval for p subscript A minus p subscript B. Round the standard error to 5 decimal places, the margin of error to 3 decimal places and leave the endpoints to 3 decimal places.

Answer 1

The statistical software output for this problem is:

From above output, 80% confidence interval will be:

(0.137, 0.183)