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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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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