i. A continuity correction compensates for estimating a discrete distribution with a continuous distribution. ii. The normal probability distribution is generally deemed a good approximation for the binomial probability distribution when np and n(1 -p)are both greater than five.
iii. When a continuity correction factor is used, its value is 1.
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

(i) is correct because a continuity correction is used when approximating a discrete distribution with a continuous one.
(ii) is correct because the normal distribution approximation is valid when np and n(1-p) are both greater than 5.
(iii) is false because the value of the continuity correction factor can vary depending on the specific approximation being made.

I a Continuity Correction Compensates for Estimating a Discrete Distribution