i. A continuity correction compensates for estimating a discrete distribution with a continuous distribution. ii. The binomial can be used to approximate the normal distribution for small sized samples.
iii. The binomial may be used to approximate the normal distribution when the probability, p, remains the same from trial to trial.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

- A continuity correction does indeed compensate for the approximation of a discrete distribution (like binomial) with a continuous one (like normal). The binomial distribution can approximate the normal distribution under certain conditions, notably when the sample size is large (not small as stated in (ii)) and the probability of success p is constant across trials, as correctly noted in (iii).

I a Continuity Correction Compensates for Estimating a Discrete Distribution