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Perform the Indicated Sign Test α=0.01\alpha = 0.01

Question 22

Essay

Perform the indicated sign test. Be sure to do the following: Identify the claim mathematically and state the null and
alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to reject
the null hypothesis and interpret the decision in the context of the original claim.
-A physicianʹs group claims that a personʹs diastolic blood pressure can be lowered by listening to a relaxation
tape each evening. Ten subjects are randomly selected and their blood pressures are measured. The 10 patients
are given the tapes and told to listen to them each evening for one month. At the end of the month, their blood
pressures are measured again. The blood pressures in mm Hg are listed below. Use the sign test to test the
physicianʹs claim. Use α=0.01\alpha = 0.01  Patient 12345678910 Before 85969283809179989396 After 82909275748082888980\begin{array} { l c c c c c c c c c c } \hline \text { Patient } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 85 & 96 & 92 & 83 & 80 & 91 & 79 & 98 & 93 & 96 \\\text { After } & 82 & 90 & 92 & 75 & 74 & 80 & 82 & 88 & 89 & 80 \\\hline\end{array}

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H₀: The relaxation tape does not lower d...

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