5 points
A dietician conducted a study to determine if the diet of college students depends on whether the student has a family history of diabetes. A SRS of 50 students with a family history of diabetes and 50 students without a family history of diabetes was taken. The dietician then recorded whether or not each student had a healthy diet. Test the claim that the proportion of students with a family history of diabetes who have a healthy diet is greater than the proportion of students without a family history of diabetes who have a healthy diet.
able[[,Healthy Diet,Unhealthy Diet,Total],[Diabetes in Family,30,20,50],[No Diabetes in Family,18,32,50],[Total,48,52,100]]
Let p = proportion of all students that have a healthy diet,
P_yes = proportion of students with a family history of diabetes that have a healthy diet
P_No = proportion of students without a family history of diabetes that have a healthy diet
Construct a 99% confidence interval for p_yes - p_No
(0.0499,0.4301)
(0.0805,0.3995)
(-0.0174,0.4974)
(-0.0098,0.4898)
5 points
A dietician conducted a study to determine if the diet of college students depends on whether the student has a family history of diabetes. A SRS of 50 students with a family history of diabetes and 50 students without a family history of diabetes was taken. The dietician then recorded whether or not each student had a healthy diet. Test the claim that the proportion of students with a family history of diabetes who have a healthy diet is greater than the proportion of students without a family history of diabetes who have a healthy diet.
able[[,Healthy Diet,Unhealthy Diet,Total],[Diabetes in Family,30,20,50],[No Diabetes in Family,18,32,50],[Total,48,52,100]]
Let p = proportion of all students that have a healthy diet,
P_yes = proportion of students with a family history of diabetes that have a healthy diet
P_No = proportion of students without a family history of diabetes that have a healthy diet
Construct a 99% confidence interval for P_yes - P_No
(0.0499,0.4301)
(0.0805,0.3995)
(-0.0174,0.4974)
(-0.0098,0.4898)