Politics and Sex 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 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? Test an appropriate hypothesis and state your conclusion If you concluded there was a difference, estimate that difference with a confidence interval and interpret your interval in context

A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only wants a 2% margin of error at a 99% confidence level, what size of sample is needed?

Briefly describe the relationship between confidence interval and hypothesis testing.

A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election.  110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate.  The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B.   What is the point estimate? Round final answer to 3 decimal places.