12 Compute the PValve Do we reject or not reject the null H0

12.

Compute the P-Valve?

Do we (reject or not reject) the null H₀?

There (is or is not) enough evidence to supprt this?

Cholesterol: An article in the Archives of Internal Medicine reported than in a sample of 244 Men, 73 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 234 women, 42 had elevated cholesterol levels. Can you conclude that the proportion of people with elevated cholesterol levels differs between men and women? Let p 1 denote the proportion of men with elevated cholesterol levels. Use the a = 0.05 level of significance and the P-value method with the TI-84 calculator. Part 1 State the appropriate null and alternate hypotheses. This hypothesis test is a [ ] test. Part 2 out of 4 Find the P-value. Round the answer to four decimal places. Compute the P-Valve? Do we (reject or not reject) the null H0? There (is or is not) enough evidence to supprt this?

Solution

p1=73/244 = 0.2991803

p2=42/234 = 0.1794872

The test statistic is

Z=(p1-p2)/sqrt(p1*(1-p1)/n1+p2*(1-p2)/n2)

=(0.2991803-0.1794872)/sqrt(0.2991803*(1-0.2991803)/244+0.1794872*(1-0.1794872)/234)

=3.10

So the p-value= 2*P(Z>3.1) =0.0019 (from standard normal table)

Do we (reject ) the null H₀?

There (is ) enough evidence to supprt this?