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 65.0 405.0 1566.0|1131.0 271.0 253.0 112.0 155.0 32.0 e 44 62 31 43 92 58 25 26 17

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter4: Writing Linear Equations
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Greater OR Less;  is OR is not.

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?
65.0 405.0 1566.0|1131.0 271.0 253.0 112.0 155.0 32.0 e
Court Income
Justice Salary
43 92
31
58
44
62| 25
26
17
What are the null and alternative hypotheses?
O A. Ho: p=0
O B. Ho: p#0
H1: p>0
H1:p=0
ОС. Но: р30
O D. Ho: p= 0
H1:p<0
H1: p#0
Construct a scatterplot. Choose the correct graph below.
O A.
OB.
O B.
OC.
O D.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
50-
50-
504
50-
++++ +++
800
0-
0+
0-
->
1600
800
Court Income
1600
800
1600
800
1600
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? 65.0 405.0 1566.0|1131.0 271.0 253.0 112.0 155.0 32.0 e Court Income Justice Salary 43 92 31 58 44 62| 25 26 17 What are the null and alternative hypotheses? O A. Ho: p=0 O B. Ho: p#0 H1: p>0 H1:p=0 ОС. Но: р30 O D. Ho: p= 0 H1:p<0 H1: p#0 Construct a scatterplot. Choose the correct graph below. O A. OB. O B. OC. O D. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- 50- 50- 504 50- ++++ +++ 800 0- 0+ 0- -> 1600 800 Court Income 1600 800 1600 800 1600 Court Income Court Income Court Income
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
V 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 does appear that justices might profit by levying larger fines.
O C. It appears that justices profit the same despite the amount of the fines.
O D. It does not appear that justices might profit by levying larger fines.
Transcribed Image Text: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 V 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 does appear that justices might profit by levying larger fines. O C. It appears that justices profit the same despite the amount of the fines. O D. It does not appear that justices might profit by levying larger fines.
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