According to an Opinion Dynamics Poll published in USA TODAY, roughly 54% of U.S. men and 33% of U.S. women believe in extraterrestrial aliens. Of U.S. adults, roughly 48% are men and 52% women.

a). What percentage of U.S. adults believe in such aliens?

b). What percentage of U.S. women believe in such aliens?

c). What percentage of U.S. adults that believe in such aliens are women?

d). Obtain a 90% CI for the percentage in part (a).