Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 19 Jan 2018 My Price 5.00

Normal distribution

Normal approximation for a sample proportion. A sample survey contacted an SRS of 700 registered voters in Oregon shortly after an election and asked respondents whether they had voted. Voter records show that 56% of registered voters had actually voted. We will see in the next chapter that in this situation the proportion ^p of the sample who voted has approximately the Normal distribution with mean μ = 0.56 and standard deviation σ = 0.019

(a) If the respondents answer truthfully, what is P(0.52 ≤  ≤ 0.60)? This is the probability that the statistic  estimates the parameter 0.56 within plus or minus 0.04.

(b) In fact, 72% of the respondents said they had voted ( = 0.72). If respondents answer truthfully, what is P( ≥ 0.72)? This probability is so small that it is good evidence that some people who did not vote claimed that they did vote.

 

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Maurice Tutor
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Status NEW Posted 19 Jan 2018 10:01 PM My Price 5.00

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