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 t 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 court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 66.0 404.0 1567.01130.0 271.0 251.0 112.0 154.0 32.0 e Justice Salary 30 46 90 57 44 61 25 26 18 ..... What are the null and alternative hypotheses? O A. Ho: p=0 H1: p#0 O B. Ho: p=0 H,:p>0 OC. Ho: p#0 H4:p=0 O D. Ho: p=0 H:p<0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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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
66.0
404.0 1567.0|1130.0 271.0 251.0 112.0 154.0
32.0 P
Justice Salary
30
46
90
57
44
61
25
26
18
.....
What are the null and alternative hypotheses?
Ο Α. Ho: ρ= 0
В. Но: р3D0
H4:p#0
H1:p>0
O c. Ho: p+0
O D. Ho: p=0
H1:p=0
H1:p<0
Construct a scatterplot. Choose the correct graph below.
O A.
В.
C.
OD.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
A Justice Salary
100-
50-
50-
50-
50-
0-
0-
0-
800
1600
800
1600
Court Income
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.)
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 66.0 404.0 1567.0|1130.0 271.0 251.0 112.0 154.0 32.0 P Justice Salary 30 46 90 57 44 61 25 26 18 ..... What are the null and alternative hypotheses? Ο Α. Ho: ρ= 0 В. Но: р3D0 H4:p#0 H1:p>0 O c. Ho: p+0 O D. Ho: p=0 H1:p=0 H1:p<0 Construct a scatterplot. Choose the correct graph below. O A. В. C. OD. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- A Justice Salary 100- 50- 50- 50- 50- 0- 0- 0- 800 1600 800 1600 Court Income 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.)
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