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You Hire 100 People to Survey the City's Residents About

Question 9

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You hire 100 people to survey the city's residents about the question, "Do you approve of the job the mayor is doing?" Each person interviews 25 people. They report back, and here is a tabulation of the 100 samples.
Number of samples (of 100 samples of 25 each) giving indicated sample percents
A) From the data above, give a good estimate of the percent of the whole population who are for the mayor. Explain your decision.  Percent of sample who are for  the mayor  Number of samples 48%1 sample 44%4 samples 40%5 samples 36%4 samples 32%14 samples 28%21 samples 24%19 samples 20%16 samples 16%11 samples 12%2 samples 8%3 samples \begin{array} { | l | l | } \hline \begin{array} { r } \text { Percent of sample who are for } \\\text { the mayor }\end{array} & \text { Number of samples } \\\hline 48 \% & 1 \text { sample } \\\hline 44 \% & 4 \text { samples } \\\hline 40 \% & 5 \text { samples } \\\hline 36 \% & 4 \text { samples } \\\hline 32 \% & 14 \text { samples } \\\hline 28 \% & 21 \text { samples } \\\hline 24 \% & 19 \text { samples } \\\hline 20 \% & 16 \text { samples } \\\hline 16 \% & 11 \text { samples } \\\hline 12 \% & 2 \text { samples } \\\hline 8 \% & 3 \text { samples } \\\hline\end{array}
A) From the data above, give a good estimate of the percent of the whole population who are for the mayor. Explain your decision.
B) Using the table above, give a confidence interval for the percentage of people in the population who are for the mayor. Your confidence interval should have a 90% confidence level.With a 90% confidence level:
C) Why is the 1n\frac { 1 } { \sqrt { n } } idea not good here?
D) If there were an added column for 100 samples, each sample of size 100, how would the column look compared to the column for samples of size 25?

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A) 26%
B) Omitting the five samples of t...

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