In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate.

Suppose that an article describing the poll says that the margin of error for the statistic is 0.045 and an interval estimate is found.What quantity is the interval estimate in trying to capture? Identify with appropriate notation and words.

a. P=proportion of likely voters who plan to vote for the Democratic candidate

b. P hat=proportion of likely voters who plan to vote for the Democratic candidate