A hospital has 150 doctors out of whom 78 are ladies. When a sample of

1.	A hospital has 150 doctors out of whom 78 are ladies. When a sample of 35 doctors are taken, find mean and standard error of proportion of ladies.
Answer» Given N=150, X = 78, n = 35 Population proportion = P₀= X/N = \(\frac{78}{150}\) = 0.52; Q₀ = 1 -P₀= 0.48 Sample proportion = p = p₀ = 0.52 Standard error of sample proportion is SE = \(\sqrt{n}\) = \(\sqrt\frac{0.52 \times 0.48}{35}\) = 0.084.

A hospital has 150 doctors out of whom 78 are ladies. When a sample of 35 doctors are taken, find mean and standard error of proportion of ladies.

Answer»

Given N=150, X = 78, n = 35

Population proportion

= P₀= X/N = \(\frac{78}{150}\)

= 0.52; Q₀ = 1 -P₀= 0.48

Sample proportion = p = p₀ = 0.52

Standard error of sample proportion is

SE = \(\sqrt{n}\) = \(\sqrt\frac{0.52 \times 0.48}{35}\)

= 0.084.