Connecticut is located between Boston and New York, so baseball fans in the state typically root for either the Yankees or the Red Sox. In a recent poll of 803 randomly selected baseball fans, 52% said their favorite team was the Yankees. 

a. Construct and interpret a 90% confidence interval for the proportion of all baseball fans in Connecticut who would say their favorite team was the Yankees. 

b. If the researchers wanted the margin of error to be 2%, how many baseball fans so they have to randomly select.