There are 300 million people in the general population. We want to know what fraction of those people support the Democratic candidate in the upcoming election and what fraction support the Republican candidate. In a poll of 1,000 people, 510 support the Democratic candidate and 490 support the Republican.

(a) Create a 95% confidence interval for support for the Democratic candidate and Republican candidate

(b) Suppose exactly half of the population supported the Republican candidate and exactly half of the population supported the Democratic candidate. In that situation, what would be the probability that the Democratic candidate received the support of 51% or more of the sample if the sample size was 1000?