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You Hire 100 People to Survey City Residents About the Question

Question 8

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You hire 100 people to survey city residents about the question, "Do you think the county park should be closed in order to resolve the budget crisis?" Each person interviews 25 people. They report back, and here is a tabulation of the 100 samples.
 Number of 100 samples giving  indicated sample percents  Number of 100 samples  giving indicated sample  percents  Percent of sample who are for  the closing  Number of samples of  size 2512%2 samples 16%3 samples 20%6 samples 24%7 samples 28%13 samples 32%19 samples 36%18 samples 40%14 samples 44%13 samples 48%3 samples 52%2 samples \begin{array} { | l | l | } \hline \begin{array} { c } \text { Number of } 100 \text { samples giving } \\\text { indicated sample percents }\end{array} & \begin{array} { l } \text { Number of } 100 \text { samples } \\\text { giving indicated sample } \\\text { percents }\end{array} \\\hline \text { Percent of sample who are for } \\\text { the closing } & \begin{array} { l } \text { Number of samples of } \\\text { size } 25\end{array} \\\hline 12 \% & 2 \text { samples } \\\hline 16 \% & 3 \text { samples } \\\hline 20 \% & 6 \text { samples } \\\hline 24 \% & 7 \text { samples } \\\hline 28 \% & 13 \text { samples } \\\hline 32 \% & 19 \text { samples } \\\hline 36 \% & 18 \text { samples } \\\hline 40 \% & 14 \text { samples } \\\hline 44 \% & 13 \text { samples } \\\hline 48 \% & 3 \text { samples } \\\hline 52 \% & 2 \text { samples } \\\hline\end{array}
A) From the data above, give a good estimate of the percent of the whole population who are for closing the park. Explain your decision.
B) Give a 90% confidence interval for the percentage of people in the population who favor the county park closing. Use the table, rather than the 1n\frac { 1 } { \sqrt { n } } idea. With a 90% 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 100, how would the column look compared to the column for samples of size 25?

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A) 33.6%
B) Omitting the five samples of...

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