9.3

Construct the 90% confidence interval for the difference p1-p2 when x1=43n1=85 x2=23 and n2=65. Round the answer to at least three decimal places.

A 90% confidence interval for the difference between the two proportions is __<p1-p2<__

.

Childhood obesity: A national health survey weighed a sample of 530 boys aged 6-11 and found that 78 of them were overweight. They weighed a sample of 522 girls aged 6-11 and found that

61 of them were overweight. Can you conclude that the proportion of boys who are overweight is greater than the proportion of girls who are overweight? Let p1 denote the proportion of boys who are overweight and let p2 denote the proportion of girls who are overweight. Use the =0.05 level of significance and the P-value method with the TI-84 Plus calculator.

State the appropriate null and alternate hypotheses.

H0:

H1:

This is a _______________ test.

Preventing heart attacks: Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6728 patients were given clopidogrel, and 6678 were given ticagrelor. Of the clopidogrel patients, 573 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 672

suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is greater for ticagrelor? Let p1 denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the =0.05 level of significance and the P-value method with the TI-84 Plus calculator.

State the null and alternate hypotheses

H0:

H1:

This is a _______________ test.

Cholesterol: An article in the Archives of Internal Medicine reported that in a sample of

246 men, 77 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 232 women, 41 had elevated cholesterol levels. Can you conclude that the proportion of people with elevated cholesterol levels differs between men and women? Let p1 denote the proportion of men with elevated cholesterol levels and p2 denote the proportion of women with elevated cholesterol levels. Use the =0.01 level of significance and the P-value method with the TI-84 Plus calculator.

State the null and alternate hypotheses

H0:

H1:

This is a _______________ test.