In: Statistics and Probability
3).A political poll estimates that 48% of Democrat voters will vote for Elizabeth Warren in the presidential primaries. They provide a "margin of error" of 3 percentage points, which leads to a 95% confidence interval of 45% to 51%.
a) Explain what "95% confidence level" means.
b) Why is a confidence interval needed here? What does it tell us
that the "48%" does not tell us?
c) Which of the following is the best interpretation of the
confidence interval?
i) 95% of the samples had between 45% and 51% of respondents
supporting Warren.
ii) There's a 95% chance that between 45% and 51% of those sampled
support Warren.
iii) We are 95% confident that between 45% And 51% of all voters
support Warren.
iv) We are 95% confident that between 45% and 51% of those sampled
support Warren.