Question

Discuss the relationship between the required sample size and (1) desired margin of error, (2) confidence level, and (3) estimated variation in the sample. How does the required sample size change in relation to these three factors?

Answer 1

(1)

Relationship between the required Sample Size (n) and

(i) Desired Margin of Error (MOE),

(ii) Confidence level (1 - )

(iii) Estimated Variation in the sample ()

is given by:

(2)

(i) When the Margin of Error (MOE) increases, minimum sample size (n) decreases.

(ii) When the Confidence level increases, minimum sample size (n) increases.

(iii) When the Estimated Variation in the sample () increases, minimum sample size (n) increases.