Question

We saw that if we want to have a probability of at least 95% that the poll results are within 1 percentage point of the truth, Chebyshev's inequality recommends a sample size of n = 50,000. This is very large compared to what is done in practice. Newspaper polls use smaller sample sizes for various reasons. For each of the following, decide whether it is a valid reason.

In the real world,

a) the accuracy requirements are looser.
Yes or No
b) the Chebyshev bound is too conservative.
Yes or No
c) the people sampled are all different, so their answers are not identically distributed.
Yes or No
d) the people sampled do not have independent opinions.
Yes or No

Answer 1

a). Yes
b). Yes
c). No
d). No

Answer 2

yes,yes,no,no