Question

Choose the correct answer below. A. The proportion of numbers in the population is equal to the mean of the sample proportions. B. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers. C. The proportion of numbers in the population is not equal to the mean of the sample proportions. D. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers.

Answer 1

A. The proportion of numbers in the population is equal to the mean of the sample proportions

Explanation:

The relationship between the mean
`\mu _(\overline p)`, and standard deviation,
`\sigma _(\overline p)`, of the sample proportion and the population proportion, p, are given as follows;

`\mu _(\overline p)` = p

`\sigma _(\overline p) = \sqrt{(p \cdot (1 - p))/(n) } * \sqrt{(N - n)/(N - 1) }`

Where;

N = The size of the population

n = The sample size

Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions