You are watching a nightly news broadcast on CNN and the rep

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 (0.452 , 0.5223). You also note that the footnote says this is based on a random sample performed by Gallup with 778 respondents. What is the correct interpretation of this confidence interval?

A. We are 95% confident that the proportion of all Americans who supported going to war in Iraq is between 0.452 and 0.5223.

B. We are certain that 95% of Americans will be between 0.452 and 0.5223.

C. We cannot determine the proper interpretation of this interval.

D. We are 95% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.452 and 0.5223.

E. We are 95% condfident that of the 778 repspondents, between 0.452 and 0.5223 of them supported the decision to go to war.

Solution

D. We are 95% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.452 and 0.5223

proportion of all Americans who supported going to war in Iraq is lie in the innterval stated. & the inerval may vary depend on the confidence level you choose