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 α=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?

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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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 α=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?

 

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?
O A. It appears that justices profit the same despite the amount of the fines.
O B. It does appear that justices might profit by issuing smaller 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: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? O A. It appears that justices profit the same despite the amount of the fines. O B. It does appear that justices might profit by issuing smaller 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.
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
66.0 403.0 1567.01131.0 272.0 254.0 112.0 156.0 33.0 e
30
45 92
56
45
61
25
26
18
What are the null and alternative hypotheses?
O A. Ho: p=0
H1: p>0
O B. Ho: p=0
H1: p#0
O D. Ho: p=0
OC. Ho: p#0
H4:p=0
H1:p<0
Construct a scatterplot. Choose the correct graph below.
O A.
OB.
Oc.
OD.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
50-
50-
50-
50-
0-
0+++++ +>
800
Court Income
0-
0++ --- ->
1600
1600
800
Court Income
800
800
1600
Court Income
1600
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 Justice Salary 66.0 403.0 1567.01131.0 272.0 254.0 112.0 156.0 33.0 e 30 45 92 56 45 61 25 26 18 What are the null and alternative hypotheses? O A. Ho: p=0 H1: p>0 O B. Ho: p=0 H1: p#0 O D. Ho: p=0 OC. Ho: p#0 H4:p=0 H1:p<0 Construct a scatterplot. Choose the correct graph below. O A. OB. Oc. OD. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- 50- 50- 50- 50- 0- 0+++++ +> 800 Court Income 0- 0++ --- -> 1600 1600 800 Court Income 800 800 1600 Court Income 1600 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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