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 ( 0.4441 , 0.5034 ). You also note that the footnote says this is based on a random sample performed by
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 ( 0.4441 , 0.5034 ). You also note that the footnote says this is based on a random sample performed by Gallup with 762 respondents. What is the correct interpretation of this confidence interval? Question 10 options:
1) We cannot determine the proper interpretation of this interval.
2) We are 90% confident that the proportion of all Americans who supported going to war in Iraq is between 0.4441 and 0.5034.
3) We are 90% confident that of the 762 respondents, between 0.4441 and 0.5034 of them supported the decision to go to war.
4) We are 90% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.4441 and 0.5034.
5) We are certain that 90% of Americans will be between 0.4441 and 0.5034.
We have to determine which statement is correct for given situation.
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