# Exam3Answers - STAT 110 – Fall 2009 – Section 4 –...

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Unformatted text preview: STAT 110 – Fall 2009 – Section 4 – Exam 3 Answers FORM A/B 1) The University parking services is trying to gauge the support for raising the parking costs in order to install new security cameras. They take a survey of a random sample of 300 of those currently renting spots. 146 of those favor the increased fees for parking, while 154 are against raising the fees. What is the observed proportion ( p ˆ ) who favor increasing the fees? 146/300 ≈ 0.487 = 48.7% 2) Continuing the previous problem, assuming the true percentage favoring increase is 45%, what is the standard deviation of the sampling distribution of the observed proportion? % 9 . 2 029 . 300 ) 45 . 1 ( 45 . = ≈ − 3/4) If p ˆ has an expected value (mean) of 52% and a standard deviation of 6%. What percent of the time will p ˆ fall between 46% and 52%? 34% 4/3) If p ˆ has an expected value (mean) of 52% and a standard deviation of 6%. What percent of the time will p ˆ fall below 40%? 2.5% 5) A game with two possible prizes gives you a 0.028 (2.8%) chance of winning \$25.00 and a 0.047 (4.7%) chance of winning \$10.00. 5) A game with two possible prizes gives you a 0....
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Exam3Answers - STAT 110 – Fall 2009 – Section 4 –...

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