A researcher takes a random sample from a population. What is the percent chance the sample result will be within two standard errors of the true value in the population?
A) 68%
B) 95%
C) 99.7%
D) 100%

Question

Quizplus · Accepted Answer

When we talk about being within two standard errors of the true value, we are referring to a confidence interval of 95% (since two standard errors on either side of the mean will capture approximately 95% of the sample data). Therefore, the correct answer is B, which corresponds to a 95% chance that the sample result will be within two standard errors of the true population value.

A Researcher Takes a Random Sample from a Population