Question

Suppose that a large number of samples are taken from a population. Which of the following sample sizes will be most likely to result in the sample proportion distribution having the largest standard deviation?

Answer 1

Whatever the lowest value answer choice is will be the correct answer.

Explanation:

Say your answer choices are

A. 56

B. 42

C. 70

D. 84

The correct answer would be 42

Answer 2

If you use a large enough statistical sample size, you can apply the Central Limit Theorem (CLT) to a sample proportion for categorical data to find its sampling distribution. The population proportion, p, is the proportion of individuals in the population who have a certain characteristic of interest (for example, the proportion of all Americans who are registered voters, or the proportion of all teenagers who own cellphones). The sample proportion, denoted