For given Example, into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? If the polling organization used a sample of only 600 voters instead, would this range of possible sample proportions be wider, more narrow, or the same? Explain your answer, and explain why it makes intuitive sense.
Example
Possible Sample Proportions Favoring a Candidate Suppose that of all voters in the United States, 40% are in favor of Candidate C for president. Pollsters take a sample of 2400 voters. What proportion of the sample would be expected to favor Candidate C?