The following scatterplot shows the percentage of the vote a candidate received in the 2004 senatorial elections according to the voter's income level based on an exit poll of voters conducted by CNN. The income levels 1-8 correspond to the following income classes: $1 =$ Under $\$ 15,000 ; 2 = \$ 15 - 30,000 ; 3 = \$ 30 - 50,000 ; 4 = \$ 50 - 75,000 ; 5 = \$ 75 - 100,000 ; 6 = \$ 100 - 150,000$; $7 = \$ 150 - 200,000 ; 8 = \$ 200,000$ or more.

-Use the election scatterplot to the find the critical values corresponding to a $0.01$ significance level used to test the null hypothesis of $\varrho _ { \mathrm { S } } = 0$.
A) $- 0.881$
B) $- 0.738$ and $0.738$
C) $0.881$
D) $- 0.881$ and $0.881$

Question

The following scatterplot shows the percentage of the vote a candidate received in the 2004 senatorial elections according to the voter's income level based on an exit poll of voters conducted by CNN. The income levels 1-8 correspond to the following income classes: $1 =$ Under $\$ 15,000 ; 2 = \$ 15 - 30,000 ; 3 = \$ 30 - 50,000 ; 4 = \$ 50 - 75,000 ; 5 = \$ 75 - 100,000 ; 6 = \$ 100 - 150,000$; $7 = \$ 150 - 200,000 ; 8 = \$ 200,000$ or more.

-Use the election scatterplot to the find the critical values corresponding to a $0.01$ significance level used to test the null hypothesis of $\varrho _ { \mathrm { S } } = 0$.
A) $- 0.881$ 
B) $- 0.738$ and $0.738$ 
C) $0.881$ 
D) $- 0.881$ and $0.881$

Quizplus · Accepted Answer

For a two-tailed test at a $0.01$ significance level, the critical values for Spearman's rank correlation coefficient are $-0.881$ and $0.881$.

The Following Scatterplot Shows the Percentage of the Vote a Candidate