# Exam3PractAnswers - STAT 110 Fall 2009 Practice Exam 3...

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STAT 110 – Fall 2009 – Practice Exam 3 Solutions 1) A politician is taking a survey of 500 likely voters to see if a majority (at least 50%) of their constituents favor increasing the cigarette tax. The particular sample of 500 they collected had 252 favoring an increase in the cigarette tax. What is the observed proportion ( p ˆ ) who favor increasing the tax? E) 252/500 = 0.504 = 50.4% 2) Continuing the previous problem, assuming the true percentage favoring increase is 50%, what is the standard deviation of the sampling distribution of the observed proportion? A) % 2 . 2 022 . 0 500 ) 5 . 0 1 ( 5 . 0 = 3) If p ˆ has an expected value (mean) of 43% and a standard deviation of 2%. What percent of the time will p ˆ fall between 41% and 45%? D) 68% 4) If p ˆ has an expected value (mean) of 43% and a standard deviation of 2%. What percent of the time will p ˆ fall above 47%? C) 2.5% 5) A raffle with 1,000 tickets has 1 grand prize worth \$20,000, and 10 second prizes each worth \$1,000. What is the chance of not winning any prize if you buy one of the tickets? C)

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Exam3PractAnswers - STAT 110 Fall 2009 Practice Exam 3...

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