Final answer:
Sophisticated statistical methods cannot always correct sampling bias due to undercoverage.
Step-by-step explanation:
The FALSE statement is (e) Sophisticated statistical methods can always correct the results if the population you are sampling from is different from the population of interest, for example, due to undercoverage.
While statistical methods can help adjust and account for some sampling errors, they cannot always correct the results if the population being sampled is different from the population of interest due to undercoverage. Undercoverage occurs when certain members of the population are not represented in the sample, leading to a biased result.
For example, if a survey is conducted by only sampling individuals with internet access, the results may not accurately represent the entire population, such as those without internet access.