HLST 2300
213231394
Friday, October 24, 2014
1.
Hyperlipidemia in children has been hypothesized to be related to high cholesterol in their parents.
The following data were collected on parents and children.
CHILD
Not
Hyperlipidemic
Hyperlipidemic
TOTAL
Both Parents
Hyperlipidemic
13
One Parent
Hyperlipidemic
34
Neither Parent
Hyperlipidemic
83
TOTAL
45
42
6
58
76
89
93
223
130
a. What is the probability that one or both parents are hyperlipidemic?
P (ONE OR BOTH PARENT ARE HYPERLIPEMIC) =
(58+76)
223
=
134
223
= 0.60
b. What is the probability that the child and both parents are hyperlipidemic?
P (CHILD AND BOTH PARENT ARE HYPERLIPIDEMIC) =
45
223
= 0.20
c. What is the probability that a child is hyperlipidemic if neither of his/her parents are hyperlipidemic? P (CHILD IS HYPERLIPIDEMIC IF NEITHER IF HIS/HER PARENT ARE HYPERLIPIDEMIC) =
6
89
= 0.07
d. What is the probability that a child is hyperlipidemic if both of his/her parents are hyperlipidemic? P (CHILD IS HYPERLIPIDEMIC OF BOTH OF HIS/HER PARENTS ARE HYPERLIPIDEMIC) =
45
58
= 0.77
1
2.
The following table displays blood pressure status by sex.
Male
Female
Total
Optimal
22
43
65
Normal
73
132
205
Hypertension
55
65
120
Total
150
240
390
a. What proportion of the participants have optimal blood pressure?
P (OPTIMAL BLOOD PRESSURE) =
65
390
= 0.17
b. What proportion of men have optimal blood pressure?
P (MEN OPTIMAL BLOOD PRESSURE) =
22
150
= 0.15
c. What proportion of participants with hypertension are male?
P (MALE HYPERTENSION) =
55
120
= 0.46
d. Are hypertensive status and male gender independent? Justify.
P (MALE /HYPERTENSION) = 0.46
P (MALE) =
150
390
= 0.39
0.46 ≠ 0.39===================THEREFORE NOT INDEPENDENT AND ALSO BEING
HYPENTENSIVE DOES NOT REALLY DEPEND ON GENDER
2
3.
The following table summarizes data collected in a study to evaluate a new screening test for ovarian cancer. A total of 200 women were involved in the study – 50 had