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A poll of 400 people from Dobbs Ferry showed 250 preferred chocolate raspberry coffee while 170 out of 350 in Irvington preferred the same flavor. To test the hypothesis that there is no difference in preferences in the two villages, what is the alternate hypothesis

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Answer: The alternate hypothesis would disprove the null hypothesis and state that there are a significant difference in preferences/proportions between the two villages.

For instance, let's say:

  • p₁ = proportion of preference from Dobbs Ferry
  • p₂ = proportion of preference from Irvington

The null hypothesis would be that p₁ = p₂, while the alternative hypothesis would be that p₁ ≠ p₂.

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