Question

Systolic Blood Pressure (BP) was measured in a group of 100 people taking medicine to reduce...

Systolic Blood Pressure (BP) was measured in a group of 100 people taking medicine to reduce their BP. The average BP was 115 mmHg with a standard deviation of 20 mmHg. Hypothesis testing was used to see if the sample was lower than the recommended blood pressure of 120 mmHg. What is the conclusion of the test and the associated p-value?

A. BP in the medicated group was statistically higher than the recommended value of 120 mmHg (p-value = 0.012)

B. BP in the medicated group was statistically lower than the recommended value of 120 mmHg (p-value = 0.006)

C. BP in the medicated group was not statistically lower than the recommended value of 120 mmHg (p-value > 0.05)

D. BP in the medicated group was statistically different than the recommended value of 120 mmHg (p-value = 0.994)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

H0: >= 120

Ha: < 120

Test statistics

z = - / S / sqrt(n)

= 115 - 120 / 20 / sqrt(100)

= -2.5

This is test statistics value.

p-value = P( Z < z)

= P( Z < -2.5)

= 0.006

At 0.05 significance level, since p-value < 0.05 level, we have sufficient evidence to reject H0.

We conclude that,

BP in the medicated group was statistically lower than the recommended value of 120 mmHg

(p-value = 0.006)

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