Question

In​ 2003, an organization surveyed 1,508 adult Americans and asked about a certain​ war, "Do you believe the United States made the right or wrong decision to use military​ force?" Of the 1,508 adult Americans​ surveyed, 1,085 stated the United States made the right decision. In​ 2008, the organization asked the same question of 1,508 adult Americans and found that 575 believed the United States made the right decision. Construct and interpret a​ 90% confidence interval for the difference between the two population​ proportions, p 2003-p 2008.

a. The upper bound of a​ 90% confidence interval=

b. The upper bound of a​ 90% confidence interval=

c. Interpret the​ 90% confidence interval for the difference between the two population​ proportions, p 2003 - p 2008. Choose the correct answer below.

A.There is​ 90% confidence that the difference in the proportion of adult Americans from 2003 to 2008 who believe the United States made the right decision to use military force in the country is greater than the lower bound.

B.There is​ 10% confidence that the difference in the proportion of adult Americans from 2003 to 2008 who believe the United States made the right decision to use military force in the country is between the lower and upper bounds of the interval.

C.There is​ 90% confidence that the difference in the proportion of adult Americans from 2003 to 2008 who believe the United States made the right decision to use military force in the country is between the lower and upper bounds of the interval.

Answer 1

Anwers:

a. The upper bound of a​ 90% confidence interval= 0.3102

b. The upper bound of a​ 90% confidence interval= 0.3662

c: Correct option is:

C.There is​ 90% confidence that the difference in the proportion of adult Americans from 2003 to 2008 who believe the United States made the right decision to use military force in the country is between the lower and upper bounds of the interval.