Question

Question 5 (1 point)

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 ( 0.2849 , 0.3511 ). You also note that the footnote says this is based on a random sample performed by Gallup with 761 respondents. What is the correct interpretation of this confidence interval?

Question 5 options:

	1) We are 95% confident that the proportion of all Americans who supported going to war in Iraq is between 0.2849 and 0.3511.
	2) We cannot determine the proper interpretation of this interval.
	3) We are 95% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.2849 and 0.3511.
	4) We are 95% confident that of the 761 respondents, between 0.2849 and 0.3511 of them supported the decision to go to war.
	5) We are certain that 95% of Americans will be between 0.2849 and 0.3511.

Answer 1

Solution,

Given that,

95% confidence interval = ( 0.2849 , 0.3511 )

correct option is = 1)

We are 95% confident that the proportion of all Americans who supported going to war in Iraq is between 0.2849 and 0.3511.