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, 1,080 stated the United States made the right decision. In 2008, the organization asked the same question of 1,508 adult Americans and found that 573 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions, P2003 - P2008 The lower bound of a 90% confidence interval is (Round to three decimal places as needed.) The upper bound of a 90% confidence interval is (Round to three decimal places as needed.) Interpret the 90% confidence interval for the difference between the two population proportions, P2003 - P2008. 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. O 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

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RIE ni Z п, + In 2003, ny = 1508, X; = 1080, ô x = 0.711 In 2008, n2 = 1508 , 42 = 573, h = x2 0:38 qoy confidence Interval for.dilt blw 't wo poken proportion P2003-2003 is (I = h - h + 2SP (1-P) k (1-4) Here 2=1.645 - 10.211 -0.39 ) 7 1.14 0.71181-0.316) 10 8 -0.336 t 0.028 +0-308,0.314) The lower bound of 90% (I is 0.308 The upper qoy.. 0.364 0.384(1-0-33 ..+ 1 508 ey There is 90% considenic that the dift. in the proportion of adult Americans from 2003 to 2008 who believe the united staty made the right decision to use military forccin the country is between the lower & upper bounds of the interval.