Question

How are the sample proportion p and the size of a sample n related?Select all that apply.

A. hat p = x/n
B. hat p = n/x.
C. x =n* hat p
D. hat p = n*x
E. n = x hat p
F. n = hat p x

Answer 1

The sample proportion (p') and sample size (n) are related by p' = x/n, x = n * p', and n = x / p'.

Step-by-step explanation:

The sample proportion (p') and the size of a sample (n) are related in the following ways:

• The sample proportion is calculated as the number of successes (x) divided by the sample size (n), so p' = x/n.
• To find the number of successes (x), you can multiply the sample proportion (p') by the sample size (n), so x = n * p'.
• The sample size (n) can be determined by dividing the number of successes (x) by the sample proportion (p'), so n = x / p'.