Two independent random samples of voters in Alpharetta and Johns Creek were selected to investigate the proportion of all voters who favor a proposal to widen Kimball Bridge Road which runs through both cities. The difference between the sample proportions (Alpharetta – Johns Creek) was used to create the 95 percent confidence interval of (0.13,0.47) for the population difference between the two cities.

Which of the following is the best interpretation of the interval?

ANSWERS:
It is likely that more voters in Johns Creek favor the proposal than in Alpharetta, because all values in the interval are positive.

It is likely that more voters in Alpharetta favor the proposal than in Johns Creek, because all values in the interval are positive.

It is likely that the majority of voters in both districts favor the proposal, because all values in the interval are positive.

It is likely that there is no difference between the districts in voters who favor the proposal, because 0 is not contained in the interval.

It is likely that less than half the voters in both districts favor the proposal, because all values in the interval are less than 0.5.