Consider the data set shown below. Find the rejection region for determining if the Spearman's Rank Correlation between the variables $\mathrm { x }$ and y exceeds 0. Use $\alpha = 0.025$.
$\begin{array}{c|ccccccc}
\mathrm{y} & 0 & 4 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$

A) $r 0.893$
B) $r 0.786$
C) $r 0.714$
D) $r 0.886$

Question

Consider the data set shown below. Find the rejection region for determining if the Spearman's Rank Correlation between the variables $\mathrm { x }$ and y exceeds 0. Use $\alpha = 0.025$.
$\begin{array}{c|ccccccc}
\mathrm{y} & 0 & 4 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$

A) $r > 0.893$
B) $r > 0.786$
C) $r > 0.714$
D) $r > 0.886$

Quizplus · Accepted Answer

For a Spearman's Rank Correlation test with $\alpha = 0.025$ and a sample size of 7, the critical value for a one-tailed test is approximately 0.786. Thus, the rejection region is $r > 0.786$.

Consider the Data Set Shown Below x\mathrm { x }x And Y Exceeds 0

Consider the Data Set Shown Below $\mathrm { x }$ And Y Exceeds 0