In 2003, an organization surveyed 1,510 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 1,510 adult Americans surveyed, 1,080 stated the United States made the right decision. In 2008, the organization asked the same question of 1,510 adult Americans and found that 580 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 - 2008. Choose the correct answer below. A. 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. B. 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. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In 2003, an organization surveyed 1,510 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 1,510 adult Americans surveyed, 1,080 stated the
United States made the right decision. In 2008, the organization asked the same question of 1,510 adult Americans and
found that 580 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 - 2008- Choose
the correct answer below.
A. 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.
B. 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.
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.
Transcribed Image Text:In 2003, an organization surveyed 1,510 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 1,510 adult Americans surveyed, 1,080 stated the United States made the right decision. In 2008, the organization asked the same question of 1,510 adult Americans and found that 580 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 - 2008- Choose the correct answer below. A. 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. B. 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. 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.
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