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) All statements are false

Question

Quizplus · Accepted Answer

A continuity correction is used when approximating a discrete distribution (like binomial) with a continuous one (like normal). The binomial distribution can approximate the normal distribution when the sample size is large enough and the probability p is constant, not necessarily for small samples.

I a Continuity Correction Compensates for Estimating a Discrete Distribution