How many registered voters would vote to elect a female president? A curious political scientist selected two equivalent samples of voters. One group was given the description of a hypothetical male candidate who takes the most popular stance on most major issues, while the other group was given this same description while being told that the candidate was female. The two groups were then asked to rate on a scale from 1 to 5 the likelihood that they would vote for their respective candidate (with 1 being least likely and 5 being most likely). The following scores were obtained:

Applying the median test, determine whether there is a significant difference between the medians of these groups. Was the likelihood of this hypothetical candidate being voted for influenced by his or her gender? Discuss.

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Told Candidate Was a Woman Told Candidate Was a Man 4 4 2 4 4 4