SOLUTION: Seven percent of the voters in Fiction County are members of the Libertarian Party. A polling organization compiles a supposedly random list of 1200 Fiction County voters. Eighty-o

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Question 1186188: Seven percent of the voters in Fiction County are members of the Libertarian Party. A polling organization compiles a supposedly random list of 1200 Fiction County voters. Eighty-one of the voters on the list turn out to be members of the Libertarian Party. What is the z-score for the number of Libertarians on this list?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the distribution for 1200 has mean np=84 and variance np(1-p)=84*0.93=78.12 and sd sqrt(78.12)=8.84
so z=(81-84)/8.84=-0.34. This makes general sense in that it is negative and well below 1 sd from the mean.