A local politician conducts a simple random of 250 potential voters. The voters are asked if they would support a mayor that is willing to raise taxes. Only $$\(22 \%\)$$ of the voters answer Yes to this question. Which of these would be true about the sampling distribution of this sample proportion?
A.
mean \(=55 ; \mathrm{sd}=6.55\), shape is skewed right
B.
mean \(=55\); sd \(=6.55\), shape is approximately normal
C.
mean \(=22 \%\); sd \(=1.39 \%\), shape is skewed right
D.
mean \(=22 \% ; s d=2.6 \%\), shape is skewed right
E.
mean \(=22 \% ; s d=2.6 \%\), shape is approximately normal
Exam No:AP Statistics Problem Set 2 Year:2024 Question No:19
Answer:
E
Knowledge points:
5.4 Biased and Unbiased Point Estimates
5.5 Sampling Distributions for Sample Proportions
Solution:
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