Question

Question 40 of 44 (1 point) Attempt 1 of 1 View question in a popup lah 32m Remaining 92 Section Exercise 22 cal veu Cholesterol: An article in the Archives of Internal Medicine reported that in a sample of 256 men, 52 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 234 women, 73 had elevated cholesterol levels. Can you conclude that the proportion of men with elevated cholesterol levels is less than the proportion of women? Let P, denate the proportion of men with elevated cholesterol levels and let P2 denote the proportion of women with elevated cholesterol levels. Use the a -0.01 level of significance and the critical value method. Part: 0/5 Part 1 of 5 State the null and alternate hypotheses. H: H: This hypothesis test is a (Choose one) test. Submit Assignme Next Part Next Part 2020 Mc Grow. Education All Rights Reserved. Terms of UM

Answer 1

In a sample of 256 men , 52 had elevated total cholestrol levels

In a sample of 234 women , 73 had elevated total cholestrol levels

We need to conclude that the proportion of men with elevated cholestrol levels is less than the proportion of women

Here p1 = proportion of men with elevated cholestrol levels

and p2 = proportion of women with elevated cholestrol levels

Stating Null and Alternative hypothesis

H₀ : p1 >= p2

H₁ : p1 < p2

The trick here is that first state the alternative hypothesis , which is present in the question itself , like ,here it is p1 < p2 . So , state it as alternative hypothesis . Then , think about the opposite of it i.e. p1 >= p2 . Here's one more trick , the equality sign should always present in the null hypothesis.

The hypothesis is Two - sample Proportion test , Two - proportion z-test, left - tailed test .