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Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

Question 61

Essay

Use the Spearman rank correlation coefficient to determine whether the correlation between the given variables is
significant. 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.
-The ages and systolic blood pressures of 9 randomly selected adults are given below. Can you conclude that
there is a correlation between age and blood pressure? Use α\alpha = 0.05.  Age 384145485153576165 Blood Pressure (mmHg)116120123131142145148150152\begin{array} { l | c c c c c c c c c } \text { Age } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \\\hline \text { Blood Pressure } ( \mathrm { mm } \mathrm { Hg } ) & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152\end{array}

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