You are watching a nightly news broadcast on CNN and the reporter says that a 99

Question

You are watching a nightly news broadcast on CNN and the reporter says that a 99% confidence interval for the proportion of Americans who supported going to war in Iraq was ( 0.2676 , 0.3547 ). You also note that the footnote says this is based on a random sample performed by Gallup with 752 respondents. What is the correct interpretation of this confidence interval?

1) We are 99% condfident that of the 752 repspondents, between 0.2676 and 0.3547 of them supported the decision to go to war.

2) We are 99% confident that the proportion of all Americans who supported going to war in Iraq is between 0.2676 and 0.3547.

3) We are 99% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.2676 and 0.3547.

4) We are certain that 99% of Americans will be between 0.2676 and 0.3547.

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

Explanation / Answer

Using the interpretation of confidence ininterval the correct option is

3) We are 99% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.2676 and 0.3547.

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.