A group of volunteers for a clinical trial consists of 88 women and 90 men.20 of the women and 19 of the men have high blood pressure.Are high blood pressure and gender independent? Explain.
A)Yes;a patient with high blood pressure cannot be both male and female
B)No;
P(High blood pressure)= 0.219
P(High blood pressure| Female)= 0.227
These are not equal
C)No;
P(High blood pressure and Male)= 0.107
P(High blood pressure and Female)= 0.112
These are not equal
D)Yes;
P(High blood pressure and Male)= P(High blood pressure)∙ P(Male)
E)Yes;
P(High blood pressure| Female)= 0.227
P(High blood pressure| Male)= 0.227
These are equal.

Question

Quizplus · Accepted Answer

The probabilities of high blood pressure given gender are not equal, indicating that high blood pressure and gender are not independent. Therefore, option B is the correct answer. Options A, D, and E assume independence, which is not supported by the given data. Option C compares the joint probabilities, but it does not consider the marginal probabilities, which are necessary to determine independence.

A Group of Volunteers for a Clinical Trial Consists of 88