You are watching a nightly news broadcast on CNN and the reporter says that a 90

Question

You are watching a nightly news broadcast on CNN and the reporter says that a 90% confidence interval for the proportion of Americans who supported going to war in Iraq was ( 0.4426 , 0.5007 ). You also note that the footnote says this is based on a random sample performed by Gallup with 793 respondents. What is the correct interpretation of this confidence interval?

a) We are 90% confident that the proportion of all Americans who supported going to war in Iraq is between 0.4426 and 0.5007.

b) We are 90% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.4426 and 0.5007.

c) We are certain that 90% of Americans will be between 0.4426 and 0.5007.

d) We are 90% confident that of the 793 repspondents, between 0.4426 and 0.5007 of them supported the decision to go to war.

e) We cannot determine the proper interpretation of this interval.

Explanation / Answer

a) We are 90% confident that the proportion of all Americans who supported going to war in Iraq is between 0.4426 and 0.5007.

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