I have run an online poll on two candidates. Participants are shown both candidates and are asked to determine which one they like better. Here are the labels on my Likert scale:
- Strongly for Romney
- Leaning towards Romney
- Leaning towards Obama
- Strongly for Obama
I want run hypothesis testing on the results and see which candidate is more desirable. What is the proper way of designing the analysis? So far I have been just comparing the ones that are strongly for either candidate and reported the count value as the winner. But I want to be more systematic and do more rigorous hypothesis testing. The distribution of votes is like a binomial distribution.