One month before the election, a poll of 630 randomly selected voters showed 54% planning to vote for a certain candidate. A week later it became known that he had had an extramarital affair, and a new poll showed only 51% of 1010 voters supporting him. Do these results indicate a decrease in voter support for his candidacy?
a) Test an appropriate hypothesis and state your conclusion.
b) If you concluded there was a difference, estimate that difference with a confidence interval and interpret your interval in context.