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The Average Diastolic Blood Pressure of a Group of Men H0:μ=96mmHgHa:μ<96mmHg\begin{array}{l}\mathrm{H}_{0}: \mu=96 \mathrm{mmHg} \\\mathrm{H}_{\mathrm{a}}: \mu<96 \mathrm{mmHg}\end{array}

Question 43

Multiple Choice

The average diastolic blood pressure of a group of men suffering from high blood pressure is 96 mmHg. During a clinical trial, the men receive a medication, which it is hoped, will lower their blood pressure. After three months, the researcher wants to perform a hypothesis test to determine whether the average diastolic blood pressure of the men has decreased. The hypotheses are: H0:μ=96mmHgHa:μ<96mmHg\begin{array}{l}\mathrm{H}_{0}: \mu=96 \mathrm{mmHg} \\\mathrm{H}_{\mathrm{a}}: \mu<96 \mathrm{mmHg}\end{array}
Explain the meaning of a Type II error.


A) Concluding that μ>96mmHg \mu>96 \mathrm{mmHg} when in fact μ<96mmHg \mu<96 \mathrm{mmHg}
B) Failing to reject the hypothesis that μ=96mmHg \mu=96 \mathrm{mmHg} when in fact μ<96mmHg \mu<96 \mathrm{mmHg}
C) Failing to reject the hypothesis that μ=96mmHg \mu=96 \mathrm{mmHg} when in fact μ=96mmHg \mu=96 \mathrm{mmHg}
D) Concluding that μ<96mmHg \mu<96 \mathrm{mmHg} when in fact μ=96mmHg \mu=96 \mathrm{mmHg}

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