i. One factor in determining the size of a sample is the degree of confidence selected. This is usually 0.95 or 0.99, but it may be any degree of confidence you specify. ii. One factor in determining the size of a sample is the maximum allowable error that you must decide on. It is the maximum error you will tolerate at a specified level of confidence.
iii. The variation in the population as measured by the standard deviation has little or no effect in determining the size of a sample selected from the population.
A) (i), (ii), and (iii) are all correct statements.
B) (iii) is a correct statement but not (i) or (ii).
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

Statement (i) is correct as the degree of confidence selected plays a key role in determining the sample size. Statement (ii) is also correct as the maximum allowable error is an important factor in determining the sample size. Statement (iii) is incorrect because the variation in the population, as measured by the standard deviation, does affect the size of the sample selected from the population. Therefore, only (i) and (ii) are correct, and (iii) is incorrect. Choice D is the correct answer.

I One Factor in Determining the Size of a Sample