For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. The library director in a town feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected 100 patrons and found that 81 borrowed books. Did the class demonstrate that the percentage was higher in the town? Use ? = 0.01 level of significance. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the p-value. (Round your answer to four decimal places.) What is the possible proportion of patrons that do borrow books from this library? (Round your answers to four decimal places.) We are 99% confident that the true population proportion of patrons in the town who borrow books is between ? and ? .
For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. The library director in a town feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected 100 patrons and found that 81 borrowed books. Did the class demonstrate that the percentage was higher in the town? Use
level of significance.
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is
State the p-value. (Round your answer to four decimal places.)
What is the possible proportion of patrons that do borrow books from this library? (Round your answers to four decimal places.)
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