If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-two Percent of People on High-Risk Coast Will Refuse Evacuation Order, Survey of Hurricane Preparedness Finds." This headline was based on a survey of 4,126 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. We are % confident that the proportion of all coastal residents who evacuate is within the confidence interval. If we were to take a large number of random samples of size 4,126, % of the resulting confidence intervals would contain the true proportion of all coastal residents who evacuate.
If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-two Percent of People on High-Risk Coast Will Refuse Evacuation Order, Survey of Hurricane Preparedness Finds." This headline was based on a survey of 4,126 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.
We are
% confident that the proportion of all coastal residents who
evacuate is within the confidence interval. If we were to take a large number of random samples of size 4,126,
% of the resulting confidence intervals would contain the true proportion of all coastal residents who
evacuate.
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