a) Let ?̂ be the proportion of people in the sample who favor the particular candidate. i. Describe what the sampling distribution of ?̂ represents in this situation? ii. Describe the shape, center, and spread of ?̂   b) What is the probability that the random sample approval rating is greater than 50%, causing the polling organization to incorrectly predict the result of the upcoming election? (Show conditions and treat as an FRQ)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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8) Suppose that a particular candidate for public office in a large
urban district of 100,000 people is in fact favored by 47% of all
registered voters in the district. A polling organization takes a
random sample of 500 voters.

a) Let ?̂ be the proportion of people in the sample who favor the
particular candidate.
i. Describe what the sampling distribution of ?̂ represents in
this situation?

ii. Describe the shape, center, and spread of ?̂

 
b) What is the probability that the random sample approval
rating is greater than 50%, causing the polling organization to
incorrectly predict the result of the upcoming election? (Show
conditions and treat as an FRQ) 

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