AP Statistics / Mr. Hansen
Mini-Project on Accuracy of Vote Counts (11/28/2000)

Name: _____________________

Mini-Project

1.

List 4 statistics. (List both name and symbol for 3 of them.)
_____ = ____________________
_____ = ____________________
_____ = ____________________
____________________

2.

Do you agree with the 4th paragraph from the end of the opinion article (i.e., the paragraph beginning, "The best way to achieve a truly accurate recount . . .")? Discuss.

3.

If a fair coin is flipped n times, the sampling distribution of the sample proportion of heads, phat, is given by . If we let "heads" represent a Gore vote and n be the number of votes cast in Florida, then p = ______ , q = ______ , and n = ______________ .

4.

Show your work in this question. In a voting process simulated by flipping a coin, what values for phat give a margin (i.e., difference between number of heads and tails) of

(a) 300 votes

(b) 537 votes

(c) 4800 votes ?


5.

Draw a diagram and indicate in some manner (avoiding calculator notation, of course) how you computed at least one of the answers for this question. If a fair coin is flipped n times in a simulation of voting, compute

(a) P(margin ³ 300 votes)

(b) P(margin ³ 537 votes)

(c) P(margin ³ 4800 votes)