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The American Library Association claims that at most 67% of library patrons actually borrow books. The library director in Owenboro, KY, feels the proportion is higher in her library. A survey of 100 library patrons there showed that 82 actually borrowed books. Is there sufficient evidence, at the 1% level of significance, that the percentage in Owensboro is higher than the national average? Your answer should have the following: Null hypothesis: Prop ... Alternative hypothesis: Prop ... Test Type: P-test Significance Level: Alpha = ... Sample Size: n = ... Sample X = ... p-value = ... Decision: Reject H-null or Do Not Reject H-null Conclusion: Use the words of the Problem! Problem 8 (Chapter 9) A survey found that the mean commute time is 25.4 minutes for the fifteen largest U.S. cities. The Austin, TX, chamber of commerce feels that Austin's commute time is less. A survey of 25 randomly selected commuters had a mean of 22.1 minutes with a standard deviation of 5.3 minutes. At the 10% level, does the survey data suggest that Austin commute time is significantly less than the national average? Your answer should have the following: Null hypothesis: Mu ... Alternative hypothesis: Mu ... Test Type: Z-test or T-test or P-test Significance Level: Alpha =... Standard Deviation: From Population or Sample: ... Sample Size: n = ... Sample Mean: Xbar = ... p-value = ... Decision: Reject H-null or Do Not Reject H-null Conclusion: Use the words of the