A Feb 9th-13th poll by YouGov surveyed 2,578 Americans, of which 44% said they approved of Joe Biden's performance as president.

(a) Based on this poll, form a 95% confidence interval for the proportion of Americans who approve of Biden

(b) If the population of Americans were actually evenly divided between those who approve of Biden and those who don't, what's the probability that a poll of 2,578 randomly selected Americans would have a sample proportion approving of Biden of .44 or below? (Hint: if you get a z-score value outside of the range shown in the normal table, you know that the probability is either very close to zero or very close to 1)