In 1948 the Chicago Daily Tribune erroneously published a headline due to early polling results that indicated Thomas E. Dewey had defeated Harry S. Truman in that year's presidential election. In truth, Truman won 49.6% of the popular vote (24,179,347 out of 47,346,569 votes) to Dewey's 45.1% (21,991,292 out of 47,346,569 votes) with the remaining percentage going to third parties.

The Gallup's September 24 report indicated that they had obtained a random sample of 3,250 voters, and 46.5% of sampled voters indicated they would be voting for Dewey, while only 38% planned to vote for Truman.

(a) Use the 2SD Method (statistic 2 * standard error) to calculate (by hand) a 95% confidence interval for each parameter. Round your proportions to 4 decimals.

(b) Interpret the confidence intervals using the units and terminology from the scenario.