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You Hire 100 People to Survey City Residents About the Question

Question 10

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You hire 100 people to survey city residents about the question, "Do you approve of a new stadium for the football team?" Each person interviews 100 people. They report back, and here is a tabulation of the 100 samples.
A) One of the people sees the table and says, "Oh! So the percent of all the residents who approve is definitely 34%, just like in my sample!" What do you say? \multicolumn1c Percent of sample who  approve  Number of samples 39%4 samples 38%1 samples 37%11 samples 36%20 samples 35%19 samples 34%25 samples 33%15 samples 32%1 samples 31%2 samples 30%1 samples 29%1 samples \begin{array} { | l | l | } \hline \multicolumn{1}{|c|} { \begin{array} { r } \text { Percent of sample who } \\\text { approve }\end{array} } & \text { Number of samples } \\\hline 39 \% & 4 \text { samples } \\\hline 38 \% & 1 \text { samples } \\\hline 37 \% & 11 \text { samples } \\\hline 36 \% & 20 \text { samples } \\\hline 35 \% & 19 \text { samples } \\\hline 34 \% & 25 \text { samples } \\\hline 33 \% & 15 \text { samples } \\\hline 32 \% & 1 \text { samples } \\\hline 31 \% & 2 \text { samples } \\\hline 30 \% & 1 \text { samples } \\\hline 29 \% & 1 \text { samples } \\\hline\end{array} A) One of the people sees the table and says, "Oh! So the percent of all the residents who approve is definitely 34%, just like in my sample!" What do you say?
B) Using the table above, give a confidence interval for the percentage of people in the population who approve. Your confidence interval should have a 90% confidence level.
Confidence interval:
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 200, how would the column look compared to the column for samples of size 100?

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