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( $\text { High blood pressure| }$ 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( $\text { High blood pressure| }$ Female) = 0.227;
P( $\text { High blood pressure| }$ Male) = 0.227.
These are equal.

Question

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(

\text { 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(

\text { High blood pressure| }

Female) = 0.227;
P(

\text { High blood pressure| }

Male) = 0.227.
These are equal.

Mikaela Morris · Accepted Answer

Final Answer : B, Explanation :  The fact that the probability of high blood pressure differs between men and women indicates that high blood pressure and gender are not independent. If they were independent, we would expect the probabilities to be the same for both genders. Therefore, option B is the correct answer.

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