Building codes in southern Florida require hurricane straps on single-family dwellings in order to more securely anchor the roof to the buildings. The straps should have no more than a 10% chance of failure in 150mph wind, and no more than a 45% chance of failure in a 200mph wind. 164 straps are tested at 200mph, and 48 of them fail. (a) Perform a hypothesis test to evaluate the claim that the straps are performing to code to an α = 0.01 (b) Provide the p − value for your test statistic determined in (a) (c) If you wished to construct a 95% confidence interval for the population proportion with half-width E = 0.01, approximately how many straps would you need to test

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Building codes in southern Florida require hurricane straps on single-family dwellings in order to more securely anchor the roof to the buildings. The straps should have no more than a 10% chance of failure in 150mph wind, and no more than a 45% chance of failure in a 200mph wind. 164 straps are tested at 200mph, and 48 of them fail.


(a) Perform a hypothesis test to evaluate the claim that the straps are performing to code to an α = 0.01
(b) Provide the p − value for your test statistic determined in (a)
(c) If you wished to construct a 95% confidence interval for the population proportion with half-width E = 0.01, approximately how many straps would you need to test?

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