In a survey of 400 likely voters, 215 responded that they would vote for the ruling party. Let be the fraction of all likely voters preferring the ruling party, and the sample fraction. The standard error of is:
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2 marksStatisticsSampling distributions and limit theoremsSampling distributions of the mean and proportionModerateabout 3 min
DSE 2007 Question 56: Sampling distributions and limit theorems
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In a survey of 400 likely voters, 215 responded that they would vote for the ruling party. Let p be the fraction of all likely voters preferring the ruling party, and p̂ the sample fraction. The standard error of p̂ is: (A) 0.025 (B) 0.035 (C) 0.045 (D) 0.055
Also written as: In a survey of 400 likely voters, 215 responded that they would vote for the ruling party. Let p be the fraction of all likely voters preferring the ruling party, and p_hat the sample fraction. The standard error of p_hat is:
Sampling distributions and limit theorems has come up 25 times in 7 exams since 2007.
What this question tests
This question is on Sampling distributions of the mean and proportion, part of Sampling distributions and limit theorems in Statistics.
How sample statistics vary from sample to sample and how precisely they estimate.
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