A poll of 1,000 American adults, conducted by telephone June 19–20, 2002, was designed to measure beliefs about apocalyptic predictions. One of the results reported was that 57% of the sample said that they believe the world will come to an end in the manner predicted in the New Testament. (Round your answers to three decimal places.)   (a) Calculate the standard error of the sample proportion who believe that the world will come to an end in this way.   (b) Calculate a 95% confidence interval for the population proportion. __to___ Interpret the interval in a way that could be understood by a statistically naive reader. We are 95% confident that the true proportion of the 1,000 American adults that were polled who believe the world will come to an end in the manner predicted in the New Testament falls within this interval. a)There is a 95% chance that the true proportion of everyone in the world who believes the world will come to an end in the manner predicted in the New Testament falls within this interval.     b)We are 95% confident that the true proportion of all American adults who believe the world will come to an end in the manner predicted in the New Testament falls within this interval. c)There is a 95% chance that the true proportion of all American adults who believe the world will come to an end in the manner predicted in the New Testament falls within this interval. d)We are 95% confident that the true proportion of everyone in the world who believes the world will come to an end in the manner predicted in the New Testament falls within this interval.

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A poll of 1,000 American adults, conducted by telephone June 19–20, 2002, was designed to measure beliefs about apocalyptic predictions. One of the results reported was that 57% of the sample said that they believe the world will come to an end in the manner predicted in the New Testament. (Round your answers to three decimal places.)
 
(a)
Calculate the standard error of the sample proportion who believe that the world will come to an end in this way.
 
(b)
Calculate a 95% confidence interval for the population proportion.
__to___
Interpret the interval in a way that could be understood by a statistically naive reader.
We are 95% confident that the true proportion of the 1,000 American adults that were polled who believe the world will come to an end in the manner predicted in the New Testament falls within this interval.
a)There is a 95% chance that the true proportion of everyone in the world who believes the world will come to an end in the manner predicted in the New Testament falls within this interval.    
b)We are 95% confident that the true proportion of all American adults who believe the world will come to an end in the manner predicted in the New Testament falls within this interval.
c)There is a 95% chance that the true proportion of all American adults who believe the world will come to an end in the manner predicted in the New Testament falls within this interval.
d)We are 95% confident that the true proportion of everyone in the world who believes the world will come to an end in the manner predicted in the New Testament falls within this interval.
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