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 x30.05. 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 65.0 404.0 1568.01131.0 273.0 250.0 110.0 155.0 31.0e Justice Salary 29 45 91 58 44 61 24 25 17 The linear correlation coefficient is r=D Round to three decimal places as needed.) The test statistic is t=. Round to three decimal places as needed.) The P-value is Round to three decimal places as needed.) Because the P-value is v than the significance level 0.05, there V sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of 1= 0.05. Based on the results, does it appear that justices might profit by levying larger fines? O A. It does appear that justices might profit by issuing smaller fines. O B. It appears that justices profit the same despite the amount of the fines. OC. It does not appear that justices might profit by levying larger fines. O D. It does appear that justices might profit by levying larger fines.

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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
65.0 404.0 1568.0 1131.0 273.0 250.0 110.0 155.0 31.0 e
29 45 91 58 44
61
24 25 17
(.....
What are the null and alternative hypotheses?
О В. Но р30
O A. Ho: p#0
H1: p= 0
H1:p>0
OC. Ho: p=0
H1: p<0
O D. Ho: p= 0
H1: p#0
Construct a scatterplot. Choose the correct graph below.
OA.
OB.
В.
OC.
OD.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
AJustice Salary
100 T
100
-
I -- ----
50-
50- h
50-
50-
504 .
0-
0+++ ++++
800
0-
0-
U+
800
1600
1600
800
1600
800
1600
Court Income
Court Income
Court Income
Court Income
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 65.0 404.0 1568.0 1131.0 273.0 250.0 110.0 155.0 31.0 e 29 45 91 58 44 61 24 25 17 (..... What are the null and alternative hypotheses? О В. Но р30 O A. Ho: p#0 H1: p= 0 H1:p>0 OC. Ho: p=0 H1: p<0 O D. Ho: p= 0 H1: p#0 Construct a scatterplot. Choose the correct graph below. OA. OB. В. OC. OD. AJustice Salary 100- AJustice Salary 100- AJustice Salary AJustice Salary 100 T 100 - I -- ---- 50- 50- h 50- 50- 504 . 0- 0+++ ++++ 800 0- 0- U+ 800 1600 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income
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
65.0 404.0 1568.0|1131.0 273.0 250.0 110.0 155.0 31.0
17
29
45
91
58
44
61
24
25
The linear correlation coefficient is r=|
(Round to three decimal places as needed.)
The test statistic is t=
(Round to three decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
Because the P-value is
V than the significance level 0.05, there
sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of
a = 0.05.
Based on the results, does it appear that justices might profit by levying larger fines?
O A. It does appear that justices might profit by issuing smaller fines.
O B. It appears that justices profit the same despite the amount of the fines.
OC. It does not appear that justices might profit by levying larger fines.
O D. It does appear that justices might profit by levying larger fines.
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 65.0 404.0 1568.0|1131.0 273.0 250.0 110.0 155.0 31.0 17 29 45 91 58 44 61 24 25 The linear correlation coefficient is r=| (Round to three decimal places as needed.) The test statistic is t= (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is V than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? O A. It does appear that justices might profit by issuing smaller fines. O B. It appears that justices profit the same despite the amount of the fines. OC. It does not appear that justices might profit by levying larger fines. O D. It does appear that justices might profit by levying larger fines.
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