In 2003. an organization surveyed 1, 500 adult Americans and asked about a certa
ID: 3233080 • Letter: I
Question
In 2003. an organization surveyed 1, 500 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, 500 adult Americans surveyed, 1, 090 stated the United States made the right decision. In 2008, the organization asked the same question of 1, 500 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, P_2033 - P_2008. 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 P_2033 - P_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.Explanation / Answer
n1 = 1500
x1 = 1090
n2 = 1500
x2 = 573
Confidence level = 0.90
We have to construct the 90% confidence interval.
By using TI-84 we can find this confidence interval.
Path is Click on STAT ---------> TESTS --------> 2-PropZInt ---------> Enter values ------->
x1 : 1090
n1 : 1500
x2 : 573
n2 : 1500
C-Level : 0.90
Calculate
We get confidence interval ( 0.317 , 0.373)
The lower of a 90% confidence interval is 0.317
The upper bound of a 90% confidence interval is 0.373
Interpretation: 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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