Two students rated, then ranked seven different television shows. The final rankings are listed in the table below. Determine the critical value needed for the Spearman rank correlation coefficient to reject the null hypothesis that the two students' rankings are not correlated at $\alpha = 0.01$.
$\begin{array}{c|ccccccc}
\text { Show } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \
\hline \text { Student 1 } & 1 & 7 & 3 & 4 & 2 & 5 & 6 \
\text { Student 2 } & 3 & 6 & 1 & 5 & 4 & 2 & 7
\end{array}$

A) 0.929
B) 0.780
C) 0.716
D) 1.000

Question

Two students rated, then ranked seven different television shows. The final rankings are listed in the table below. Determine the critical value needed for the Spearman rank correlation coefficient to reject the null hypothesis that the two students' rankings are not correlated at $\alpha = 0.01$.
$\begin{array}{c|ccccccc}
\text { Show } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \
\hline \text { Student 1 } & 1 & 7 & 3 & 4 & 2 & 5 & 6 \
\text { Student 2 } & 3 & 6 & 1 & 5 & 4 & 2 & 7
\end{array}$

A) 0.929
B) 0.780
C) 0.716
D) 1.000

Quizplus · Accepted Answer

The critical value for the Spearman rank correlation coefficient at a significance level of $\alpha = 0.01$ for $n = 7$ (number of pairs of rankings) is approximately 0.929. This value is used to determine if the correlation between the two sets of rankings is statistically significant.

Two Students Rated, Then Ranked Seven Different Television Shows α=0.01\alpha = 0.01α=0.01

Two Students Rated, Then Ranked Seven Different Television Shows $\alpha = 0.01$