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Do students that are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student government events than students who are "Not Greek"? Specifically, do more "Greek" students than "Not Greek" vote in the student elections? Let "Greek" students be group A and "Not-Greek" students be group B. Out of 250 randomly selected "Greek" students, 200 voted in the last election. Out of 500 randomly selected "Not Greek" students, 140 randomly selected "Not Greek" students voted in the last election. How would we write the alternative hypothesis?

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Answer:

Step-by-step explanation:

Greek students will represent p1 (proportion 1)

Non-Greek students will represent p2

If we were to conduct a hypothesis test for this data, we would use a test for the difference of 2 proportions.  The hypothesis for this test would be as follows...

H0:  p1 - p2 = 0

Ha:  p1 - p2 > 0

The reason the alternate hypothesis is greater than 0 is because the question claims that the proportion of greek students (p1) is greater than the proportion of non-greek students (p2).  So p2 is smaller than p1.  We are subtracting a smaller number from a larger number.  That will always result in a positive number.

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