Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 31| 42 65.0 403.0 1568.01132.0 271.0 252.0 112.0 150.0 34.0 O 91| 57 46 60 24 25 17 What are the null and alternative hypotheses? B. Ho: p=0 O A. Ho: p=0 Hip>0 H:p#0 OC. Ho: p=0 O D. Ho: p#0 H:p<0 H:p=0 Construct a scatterplot. Choose the correct graph below. O A. OB. В. Oc. D. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- .. 50- 50- 50- 504 어 . 0+ 0- 0+ 800 1600 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient is r=| (Round to three decimal places as needed.)

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Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using
a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?
Court Income
Justice Salary
65.0 403.0 1568.01132.0 271.0 252.0 112.0 150.0 34.0 e
31
42
91 57
46 60
24
25
17
What are the null and alternative hypotheses?
Ο Α Η0: ρ=0,
B. Ho: p=0
H1:p#0
H1:p>0
O C. Ho: p=0
H:p<0
O D. Ho: p#0
H:p=0
Construct a scatterplot. Choose the correct graph below.
OA.
В.
с.
D.
Justice Salary
100-
A Justice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
50-
50-.
50-
50-
0+
04
0 + >
800
Court Income
0-
800
1600
800
1600
800
1600
Court Income
1600
Court Income
Court Income
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
Transcribed Image Text:Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 65.0 403.0 1568.01132.0 271.0 252.0 112.0 150.0 34.0 e 31 42 91 57 46 60 24 25 17 What are the null and alternative hypotheses? Ο Α Η0: ρ=0, B. Ho: p=0 H1:p#0 H1:p>0 O C. Ho: p=0 H:p<0 O D. Ho: p#0 H:p=0 Construct a scatterplot. Choose the correct graph below. OA. В. с. D. Justice Salary 100- A Justice Salary 100- AJustice Salary 100- AJustice Salary 100- 50- 50-. 50- 50- 0+ 04 0 + > 800 Court Income 0- 800 1600 800 1600 800 1600 Court Income 1600 Court Income Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.)
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