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 65.0 406.0 1566.0|1130.0| 271.0 252.0 111.0 155.0 34.0 P 61 29 42 92| 57 47 25 26 17 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Họ: p=0 Hy:p=0 Hip<0 OC. Họ: p=0 O D. Ho: p=0 H;:p>0 H:p40 Construct a scatterplot. Choose the correct graph below. O A O A. OB. Oc. OD. AJustice Salary 100- AJustice Salary 100 AJustice Salary 100- AJustice Salary 100- 50 50 50 50- 4 800 1600 Court Income 800 1600 Court Income 800 1600 Court Income 800 1600 Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.)
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 65.0 406.0 1566.0|1130.0| 271.0 252.0 111.0 155.0 34.0 P 61 29 42 92| 57 47 25 26 17 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Họ: p=0 Hy:p=0 Hip<0 OC. Họ: p=0 O D. Ho: p=0 H;:p>0 H:p40 Construct a scatterplot. Choose the correct graph below. O A O A. OB. Oc. OD. AJustice Salary 100- AJustice Salary 100 AJustice Salary 100- AJustice Salary 100- 50 50 50 50- 4 800 1600 Court Income 800 1600 Court Income 800 1600 Court Income 800 1600 Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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
65.0 406.0 1566.0 1130.0 271.0 252.0 111.0 155.0 34.0
Justice Salary
29
42
92
57
47
61
25
26
17
What are the null and alternative hypotheses?
Ο Α. Ho ρ .
B. Ho: p=0
H:p=0
H1:p<0
С. Но: р-0
D. Ho: ρ=0
H1:p>0
H4:p#0
Construct a scatterplot. Choose the correct graph below.
O A.
В.
OC.
D.
A Justice Salary
100-
AJustice Salary
100-
A Justice Salary
100-
A Justice Salary
100-
50-
50-
50-
50-
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.)
Transcribed Image Text: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
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?
A. It does appear that justices might profit by levying larger fines.
B. It appears that justices profit the same despite the amount of the fines.
C. It does appear that justices might profit by issuing smaller fines.
O D. It does not appear that justices might profit by levying larger fines.
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