Question 1 A new, non-invasive screening test is proposed that is claimed to be

Question

Question 1

A new, non-invasive screening test is proposed that is claimed to be able to identify patients with impaired glucose tolerance, based on a battery of questions related to health behaviors. The new test is given to 75 patients. Based on patients' responses to the questions, they are classified as positive or negative for impaired glucose tolerance. Each patient also submits a blood sample which is used to determine each patient's glucose tolerance status. Of those who tested positive on the screening test, 17 were found to have impaired glucose tolerance, and 13 were determined to not be impaired. Of those who tested negative on the screening test, 8 were found to have impaired glucose tolerance and 37 were determined to not be impaired. What is the sensitivity of the screening test?

a. 0.56

b. 0.33

c. 0.68

d. None of the above.

Question 2.

This is a second question about the same new non-invasive screening test that is claimed to be able to identify patients with impaired glucose tolerance, based on a battery of questions related to health behaviors. As mentioned, the new test is given to 75 patients. Based on each patient's responses to the questions, they are classified as positive or negative for impaired glucose tolerance. Each patient also submits a blood sample which is used to determine each patient's glucose tolerance status. Of those who tested positive on the screening test, 17 were found to have impaired glucose tolerance, and 13 were determined to not be impaired. Of those who tested negative on the screening test, 8 were found to have impaired glucose tolerance and 37 were determined to not be impaired. What is the false positive fraction of the screening test?

a. 0.26

b. 0.43

c. 0.17

d. None of the above.

Question 3

A study collects data that shows the distribution of BMI in children living in U.S. and European urban neighborhoods. In each of the following categories, the data are in millions. In U.S. urban neighborhoods, 125 M are found to be in the normal weight range, 50 M overweight, and 40 M obese. In European neighborhoods, 101 M are found to be in the normal weight range, 42 M overweight, and 21 M obese. If a child is selected at random, what is the probability that the child is in the overweight category?

a. 0.24

b. 0.40

c. 0.41

d. None of the above.

Question 4

This question is also based on the study which shows the distribution of BMI in children living in U.S. and European urban neighborhoods. In each of the following categories, the data are in millions. In U.S. urban neighborhoods, 125 M are found to be in the normal weight range, 50 M overweight, and 40 M obese. In European neighborhoods, 101 M are found to be in the normal weight range, 42 M overweight, and 21 M obese. If a child is selected at random, what is the probability that a child living in a U.S. urban neighborhood is in the overweight category?

a. 0.23

b. 0.34

c. 0.40 d.

None of the above.

Question 5

This question is also based on the study which shows the distribution of BMI in children living in U.S. and European urban neighborhoods. In each of the following categories, the data are in millions. In U.S. urban neighborhoods, 125 M are found to be in the normal weight range, 50 M overweight, and 40 M obese. In European neighborhoods, 101 M are found to be in the normal weight range, 42 M overweight, and 21 M obese. If a child is selected at random, what is the probability that a child living in a European urban neighborhood is in the overweight category?

a. 0.30

b. 0.26

c. 0.42

d. None of the above.

Question 6

This question is also based on the study which shows the distribution of BMI in children living in U.S. and European urban neighborhoods. In each of the following categories, the data are in millions. In U.S. urban neighborhoods, 125 M are found to be in the normal weight range, 50 M overweight, and 40 M obese. In European neighborhoods, 101 M are found to be in the normal weight range, 42 M overweight, and 21 M obese. If a child is selected at random, what is the probability that a child lives in a U.S. urban neighborhood and is obese?

a. 0.11

b. 0.19

c. 0.23

d. None of the above.

Explanation / Answer

Solving question 1

Sensitivity is given by the forumula = True positive/[ True Positive+ False Negative] = 17[17+13]=17/30=0.56

Please repost the other questions individually.

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