You are watching a nightly news broadcast on CNN and the reporter says that a 95

Question

You are watching a nightly news broadcast on CNN and the reporter says that a 95% confidence interval for the proportion of Americans who supported going to war in Iraq was ( 0.2536 , 0.3124 ). You also note that the footnote says this is based on a random sample performed by Gallup with 901 respondents. What is the correct interpretation of this confidence interval?

1) We are 95% condfident that of the 901 repspondents, between 0.2536 and 0.3124 of them supported the decision to go to war. 2) We are 95% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.2536 and 0.3124. 3) We cannot determine the proper interpretation of this interval. 4) We are certain that 95% of Americans will be between 0.2536 and 0.3124. 5) We are 95% confident that the proportion of all Americans who supported going to war in Iraq is between 0.2536 and 0.3124.

Explanation / Answer

Ans : (5) We are 95% confident that the proportion of all Americans who supported going to war in Iraq is between 0.2536 and 0.3124.

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