The average diastolic blood pressure of a group of men suffering from high blood pressure is 97 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: $$\begin{array} { l }
H _ { 0 } : \mu = 97 \mathrm { mmHg } \
H _ { A } : \mu

Question

The average diastolic blood pressure of a group of men suffering from high blood pressure is 97 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: $$\begin{array} { l } 
H _ { 0 } : \mu = 97 \mathrm { mmHg } \
H _ { A } : \mu < 97 \mathrm { mmHg }
\end{array}$$
Explain the result of a Type II error.
A)The researcher will conclude that the average diastolic blood pressure of the men is the same when in fact it has decreased.
B)The researcher will conclude that the average diastolic blood pressure of the men is the same when in fact it is the same.
C)The researcher will conclude that the average diastolic blood pressure of the men has increased when in fact it has decreased.
D)The researcher will conclude that the average diastolic blood pressure of the men has decreased when in fact it has increased.
E)The researcher will conclude that the average diastolic blood pressure of the men has decreased when in fact it is the same.

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis is not rejected when it is false. In this context, it means the researcher fails to detect a true decrease in average diastolic blood pressure.

The Average Diastolic Blood Pressure of a Group of Men H0:μ=97mmHgHA:μ<97mmHg\begin{array} { l } H _ { 0 } : \mu = 97 \mathrm { mmHg } \\H _ { A } : \mu < 97 \mathrm { mmHg }\end{array}H0​:μ=97mmHgHA​:μ<97mmHg​

The Average Diastolic Blood Pressure of a Group of Men $\begin{array} { l } H _ { 0 } : \mu = 97 \mathrm { mmHg } \\H _ { A } : \mu < 97 \mathrm { mmHg }\end{array}$