11. A political polling organization conducted a survey by selecting 100 random samples, each consisting of 500 registered voters. The registered voters in each sample were asked whether they planned to vote for the Republican or Democratic candidate in the next presidential election. For each of the 100 samples, the polling organization created a 99 percent confidence interval for the proportion of all registered voters who planned to vote for the Republican candidate.
Which of the following statements is the best interpretation of the 99 percent confidence level?
(A) We would expect about 99 of the 100 confidence intervals to contain the sample proportion of the registered voters who plan to vote for the Republican candidate.
(B) We would expect about 99 of the 100 confidence intervals to contain the proportion of all registered voters who plan to vote for the Republican candidate.
(C) We would expect the margin of error to be 0.01 because the polling organization constructed 99 percent confidence intervals.
(D) We would expect the margin of error to be less than 0.01 because the polling organization constructed 100 different 99 percent confidence intervals.
(E) We would expect only 1 of the 100 confidence intervals to reveal that the Democratic candidate is favored.