Question

Cholesterol: An article in the Archives of Internal Medicine reported that in a sample of 244 men, 73 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 234 women, 44 had elevated cholesterol levels. Can you conclude that the proportion of men with elevated cholesterol levels is greater than the proportion of women? Let P1 denote the proportion of men with elevated cholesterol levels and let P2 denote the cholesterol levels for the controls. Use the a-0.05 level of significance and the P-value method. 

Answer 1

Solution :

Given that,

The null and alternative hypothesis is ,

H₀ : P₁ = P₂

H_a : P₁ > P₂

This hypothesis test is a right tailed test .