In completing a questionnaire on various global economic issues, 31 percent of randomly selected respondents identified the issues as largely associated with the United States.If the margin of error was ±5.6 percent, what is the interval estimate for the United States?
A) 25.4 percent
B) 26.2-37.8 percent
C) 25.4-36.6 percent
D) 31-36.6 percent

Question

Quizplus · Accepted Answer

To calculate the interval estimate, we need to add and subtract the margin of error (±5.6%) from the sample percentage (31%).

Upper interval estimate = 31% + 5.6% = 36.6%
Lower interval estimate = 31% - 5.6% = 25.4%

Therefore, the interval estimate for the percentage of respondents who identified the issues as largely associated with the United States is 25.4% to 36.6%. The best choice is C.

In Completing a Questionnaire on Various Global Economic Issues, 31