Eighty-eight percent of voters would vote for a female presidential candidate if she was qualified, a poll found. The poll was conducted in February 2007 by Gallup and reported by the Pew Research Center [pewresearch.org]. Only 53% of voters felt this way in 1969. Assuming 88% is the true current proportion, what is the probability that another poll of 1125 registered voters conducted randomly will result in
a. more than eight-ninths saying they would vote for a female presidential candidate, if she was qualified?
b. less than 85% saying they would vote for a female presidential candidate, if she was qualified?