If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-five Percent of People on High-Risk Coast Will Refuse Evacuation Order, Survey of Hurricane Preparedness Finds." This headline was based on a survey of 4,140 adults who live within 20 miles of the coast in high hurricane risk counties of eight southern states. In selecting the sample, care was taken to ensure that the sample would be representative of the population of coastal residents in these states. (a) Use this information to estimate the proportion of coastal residents who would evacuate using a 98% confidence interval. (Round your answers to three decimal places.) , (b) Write a few sentences interpreting the interval and the confidence level associated with the interval. Our estimate of the proportion of all coastal residents who( would, would not )evacuate is within the confidence interval above. We are not 100% sure the true proportion is actually in the above interval. We are( ) % confident. This means that if we were to take a large number of random samples of size 4,140, ( )% of the resulting confidence intervals would contain the true proportion of all coastal residents who (would, would not) evacuate and an unlucky( )% would not.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 5E

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If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-five Percent of People on High-Risk Coast Will Refuse Evacuation Order, Survey of Hurricane Preparedness Finds." This headline was based on a survey of 4,140 adults who live within 20 miles of the coast in high hurricane risk counties of eight southern states. In selecting the sample, care was taken to ensure that the sample would be representative of the population of coastal residents in these states.

(a)

Use this information to estimate the proportion of coastal residents who would evacuate using a 98% confidence interval. (Round your answers to three decimal places.)

(b)

Write a few sentences interpreting the interval and the confidence level associated with the interval.

Our estimate of the proportion of all coastal residents who( would, would not )evacuate is within the confidence interval above. We are not 100% sure the true proportion is actually in the above interval. We are( ) % confident. This means that if we were to take a large number of random samples of size 4,140, ( )% of the resulting confidence intervals would contain the true proportion of all coastal residents who (would, would not) evacuate and an unlucky( )% would not.

You may need to use the appropriate table in the appendix to answer this question.

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