Researchers ask a random sample of 1,001 adults nationwide whether they favor or oppose the legalization of marijuana. Fifty-five of respondents say they oppose it. If the researchers increase the sample size of the poll by a factor of 4 (to n=4,004), which of the following effects on the length of the 95% confidence interval for the proportion is most likely to be observed?

It will decrease by a factor of 4

It will decrease by a factor of 2

It will increase by a factor of 2

It will increase by a factor of 4