In a recent international poll, nine of 44 respondents rated the likelihood of a
ID: 3175186 • Letter: I
Question
In a recent international poll, nine of 44 respondents rated the likelihood of a terrorist attack in their community as "likely" or "very likely." Use the "Plus Four" method to create a 96% confidence interval for the proportion of American adults who believe that a terrorist attack in their community is likely or very likely. (Round your answers to two decimal places.)
( ? , ? )
Explain what this confidence interval means in the context of the problem.
a)We are 96% confident that the true proportion of American adults that believe that a terrorist attack in their community is likely or very likely lies within this interval.
b)We are 96% confident that the proportion of American adults in the sample of 44 adults that believe that a terrorist attack in their community is likely or very likely lies within this interval.
c)There is a 96% chance that an American adult believes that a terrorist attack in their community is likely or very likely.
d)We are 96% confident that an American adult believes that a terrorist attack in their community is likely or very likely.
Explanation / Answer
The confidence interval is a interval for sample proportion.
Lower limit < p < Upper limit
where p is sample proportion.
We have, 96% confidence level , Therefore we interpret it as
(b) We are 96% confident that the proportion of American adults in the sample of 44 adults that believe that a terrorist attack in their community is likely or very likely lies within this interval.
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