U.S. News and World Report (December 19, 1994, pp. 62-71) reported on a survey of 1000 American adults, conducted by telephone December 2-4, 1994, designed to measure beliefs about apocalyptic predictions. One of the results reported was that 59% of the sample said that they believe the world will come to an end.
a. Calculate the standard error of the sample proportion who believe that the world will come to an end.
b. Calculate a 95% confidence interval for the population proportion. Interpret the interval in a way that could be understood by a statistically naïve reader.