13. According to Wikipedia, as of November 30, 2019, 43.5% of registered voters in Mercer County are registered democrats (pm = 0.435), and 24.5% of registered voters in Hunterdon County are registered democrats (ph = 0.245). A researcher decides to take an SRS of 45 registered voters in Mercer County and an independent SRS of 45 registered voters in Hunterdon County to investigate, and is surprised when he gets a greater sample proportion of registered democrats in the Hunterdon County sample. Calculate and interpret the probability that the sample proportion of registered democrats in Hunterdon County is greater than the sample proportion of registered democrats in Mercer County. Be sure to show all of your work. (Note-for those of you wondering why the percentages of registered democrats in the "blue" state of New Jersey are so low, many registered voters in New Jersey do not register with any particular political party)

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