Only 57% of patrons borrow books anymore, Claims the American Library Association, suddenly! This statistic is wrong to its core Thinks the director of the library in Plainsboro, Kentucky. She hires a stats wizard to conduct a study He did his thing and what did he find! That in Plainsboro many a person and their buddy Borrowed books to expand their mind. Of the 250 people he sampled with diligence, About 185 borrowed actual books with no indifference. Using a 1% level of significance, he made a report To show that the library was not falling short He calculated the possible proportion of patrons, loyally Borrowing books in good ol' Plainsboro, Kentucky! HINT: Did he demonstrate that the percentage was higher in Plainsboro? Find the 95% and 99% confidence intervals for this sample proportion mean. Choose the fully correct answer out of the following options: O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%) O He demonstrated that at a 1% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%) O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was not higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%, 88.01%) O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%. 88.01%)
Only 57% of patrons borrow books anymore, Claims the American Library Association, suddenly! This statistic is wrong to its core Thinks the director of the library in Plainsboro, Kentucky. She hires a stats wizard to conduct a study He did his thing and what did he find! That in Plainsboro many a person and their buddy Borrowed books to expand their mind. Of the 250 people he sampled with diligence, About 185 borrowed actual books with no indifference. Using a 1% level of significance, he made a report To show that the library was not falling short He calculated the possible proportion of patrons, loyally Borrowing books in good ol' Plainsboro, Kentucky! HINT: Did he demonstrate that the percentage was higher in Plainsboro? Find the 95% and 99% confidence intervals for this sample proportion mean. Choose the fully correct answer out of the following options: O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%) O He demonstrated that at a 1% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%) O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was not higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%, 88.01%) O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%. 88.01%)
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
Transcribed Image Text:### Analysis of Library Patronage in Plainsboro, Kentucky
#### Poetic Analysis:
Only 57% of patrons borrow books anymore,
Claims the American Library Association, suddenly!
This statistic is wrong to its core
Thinks the director of the library in Plainsboro, Kentucky.
She hires a stats wizard to conduct a study
He did his thing and what did he find!
That in Plainsboro many a person and their buddy
Borrowed books to expand their mind.
Of the 250 people he sampled with diligence,
About 185 borrowed actual books with no indifference.
Using a 1% level of significance, he made a report
To show that the library was not falling short
He calculated the possible proportion of patrons, loyally
Borrowing books in good ol’ Plainsboro, Kentucky!
#### Statistical Analysis:
**HINT:** Did the director's study demonstrate that the percentage of patrons borrowing books was higher in Plainsboro? Find the 95% and 99% confidence intervals for this sample proportion mean.
**Choose the fully correct answer out of the following options:**
- He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%).
- He demonstrated that at a 1% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%).
- He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was not higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%, 88.01%).
- He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%, 88.01%).
**Explanation:**
The confidence intervals derived provide a range in which the true proportion of library patrons who borrow books lies, based on the sample studied. By
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