In a congressional district, 55% of registered voters are Democrats. A polling organization selects a random sample of 500 registered voters from this district. Let p̂ = the proportion of Democrats in the sample. a. Identify the mean of the sampling distribution of p̂. b. Calculate and interpret the standard deviation of the sampling distribution of p^. Verify that the 10% condition is met. c. Describe the shape of the sampling distribution of p̂. Justify your answer.

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 5E
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In a congressional district, 55% of registered voters are Democrats. A polling organization selects a random sample of 500 registered voters from this district. Let p̂ = the proportion of Democrats in the sample.

a. Identify the mean of the sampling distribution of p̂.

b. Calculate and interpret the standard deviation of the sampling distribution of p^. Verify that the 10% condition is met.

c. Describe the shape of the sampling distribution of p̂. Justify your answer.

 
 
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