Question

Which of the following sources of error is addressed by the margin of error? a. Errors due to incorrectly entering data into a computer. (1) b. Errors because some of the subjects did not understand the question. (1) c. Sampling variability that comes from choosing a random sample. (1) d. Bias due to using a voluntary response sample. (1)

Answer 1

we know that margin of error = critical value * standard error

and standard error is inversely propotional to the square root of sample size .

if sample size is large standard error will be low and corresponding margin of error will be low .

similarly, if the sample size is low standard error will be high and the corresponding margin of error will be large .

so

option c is true

c. Sampling variability that comes from choosing a random sample.